Cremona's table of elliptic curves

2436 = 2² · 3 · 7 · 29

Field	Data	Notes
Atkin-Lehner	2- 3+ 7+ 29-	Signs for the Atkin-Lehner involutions
Class	2436a	Isogeny class
Conductor	2436	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	5760	Modular degree for the optimal curve
Δ	-102626647664688 = -1 · 24 · 33 · 710 · 292	Discriminant
Eigenvalues	2- 3+  0 7+  2  2 -4 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,1967,485590]	[a1,a2,a3,a4,a6]
Generators	[996:46139:64]	Generators of the group modulo torsion
j	52577024000000/6414165479043	j-invariant
L	2.7214788067557	L(r)(E,1)/r!
Ω	0.4587607726643	Real period
R	5.9322395656248	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	9744t1 38976l1 7308a1 60900w1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2436a1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	+	0	+	2	2	-4	-4	-2	-	8	-6	0	0	12	-6	0	-6	8	-14	-6	-16	12	-8	10

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Quadratic twists for elliptic curve 2436a1

-4	8	-3	5	-7	29
9744t1	38976l1	7308a1	60900w1	17052n1	70644f1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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