Cremona's table of elliptic curves

910 = 2 · 5 · 7 · 13

Field	Data	Notes
Atkin-Lehner	2+ 5+ 7- 13+	Signs for the Atkin-Lehner involutions
Class	910a	Isogeny class
Conductor	910	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	4976562500000 = 25 · 512 · 72 · 13	Discriminant
Eigenvalues	2+  0 5+ 7-  4 13+  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-109040,-13831200]	[a1,a2,a3,a4,a6]
j	143378317900125424089/4976562500000	j-invariant
L	1.0509058341893	L(r)(E,1)/r!
Ω	0.26272645854732	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	7280k3 29120be4 8190bt3 4550s3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 910a3

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

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Quadratic twists for elliptic curve 910a3

-4	8	-3	5	-7	-11	13
7280k3	29120be4	8190bt3	4550s3	6370j3	110110bu4	11830t3

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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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