Cremona's table of elliptic curves

6512 = 2⁴ · 11 · 37

Field	Data	Notes
Atkin-Lehner	2- 11+ 37+	Signs for the Atkin-Lehner involutions
Class	6512b	Isogeny class
Conductor	6512	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	3855104 = 28 · 11 · 372	Discriminant
Eigenvalues	2-  0 -2  0 11+  4  4  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-71,210]	[a1,a2,a3,a4,a6]
j	154617552/15059	j-invariant
L	1.2062810556982	L(r)(E,1)/r!
Ω	2.4125621113965	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	1628a2 26048m2 58608bj2 71632j2	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 6512b2

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	0	+	4	4	4	-6	-8	2	+	-6	8	4	-2	14	-4	-4	0	2	12	-4	2	-10

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Quadratic twists for elliptic curve 6512b2

-4	8	-3	-11
1628a2	26048m2	58608bj2	71632j2

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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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