Cremona's table of elliptic curves

7436 = 2² · 11 · 13²

Field	Data	Notes
Atkin-Lehner	2- 11+ 13-	Signs for the Atkin-Lehner involutions
Class	7436b	Isogeny class
Conductor	7436	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	23400	Modular degree for the optimal curve
Δ	20530310786128 = 24 · 112 · 139	Discriminant
Eigenvalues	2-  0  0  4 11+ 13-  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-87880,-10024911]	[a1,a2,a3,a4,a6]
Generators	[-21530:5247:125]	Generators of the group modulo torsion
j	442368000/121	j-invariant
L	4.4990950728136	L(r)(E,1)/r!
Ω	0.27728997675552	Real period
R	5.4084117109172	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	29744bh1 118976bq1 66924q1 81796u1	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 7436b1

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

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Quadratic twists for elliptic curve 7436b1

-4	8	-3	-11	13
29744bh1	118976bq1	66924q1	81796u1	7436d1

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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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