Cremona's table of elliptic curves

12880 = 2⁴ · 5 · 7 · 23

Field	Data	Notes
Atkin-Lehner	2+ 5+ 7- 23+	Signs for the Atkin-Lehner involutions
Class	12880b	Isogeny class
Conductor	12880	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	10029501440 = 210 · 5 · 7 · 234	Discriminant
Eigenvalues	2+  0 5+ 7-  0  2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-923,9658]	[a1,a2,a3,a4,a6]
j	84923690436/9794435	j-invariant
L	1.2465103518466	L(r)(E,1)/r!
Ω	1.2465103518466	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	6440e3 51520cd3 115920bt3 64400g3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 12880b4

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

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Quadratic twists for elliptic curve 12880b4

-4	8	-3	5	-7
6440e3	51520cd3	115920bt3	64400g3	90160ba3

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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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