Cremona's table of elliptic curves

845 = 5 · 13²

Field	Data	Notes
Atkin-Lehner	5- 13+	Signs for the Atkin-Lehner involutions
Class	845a	Isogeny class
Conductor	845	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-20393268025 = -1 · 52 · 138	Discriminant
Eigenvalues	1 -2 5-  4 -2 13+  2  6	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,672,1523]	[a1,a2,a3,a4,a6]
j	6967871/4225	j-invariant
L	1.4929349381889	L(r)(E,1)/r!
Ω	0.74646746909446	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	13520bc2 54080p2 7605j2 4225b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 845a2

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
1	-2	-	4	-2	+	2	6	-6	2	10	2	6	10	-4	2	-6	2	4	-6	6	-12	16	-2	2

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Quadratic twists for elliptic curve 845a2

-4	8	-3	5	-7	-11	13
13520bc2	54080p2	7605j2	4225b2	41405f2	102245l2	65a2

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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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