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	2436b	Isogeny class
Conductor	2436	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	384	Modular degree for the optimal curve
Δ	204624 = 24 · 32 · 72 · 29	Discriminant
Eigenvalues	2- 3+ -2 7+ -2 -2  8  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-89,354]	[a1,a2,a3,a4,a6]
Generators	[-1:21:1]	Generators of the group modulo torsion
j	4927700992/12789	j-invariant
L	2.3535783738246	L(r)(E,1)/r!
Ω	3.1788526823663	Real period
R	0.24679537021647	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	9744w1 38976p1 7308b1 60900y1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2436b1

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
-	+	-2	+	-2	-2	8	4	4	-	4	-2	-12	-2	0	-6	-4	-8	-16	12	-4	-10	12	0	-12

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Quadratic twists for elliptic curve 2436b1

-4	8	-3	5	-7	29
9744w1	38976p1	7308b1	60900y1	17052p1	70644g1

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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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