Cremona's table of elliptic curves

9702 = 2 · 3² · 7² · 11

Field	Data	Notes
Atkin-Lehner	2+ 3- 7- 11-	Signs for the Atkin-Lehner involutions
Class	9702w	Isogeny class
Conductor	9702	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	199334873912328 = 23 · 36 · 710 · 112	Discriminant
Eigenvalues	2+ 3-  2 7- 11- -2  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-2277186,-1322083540]	[a1,a2,a3,a4,a6]
j	15226621995131793/2324168	j-invariant
L	1.9663911279995	L(r)(E,1)/r!
Ω	0.12289944549997	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	77616fg4 1078i4 1386c4 106722gt4	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 9702w3

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
+	-	2	-	-	-2	2	0	8	2	8	-2	10	4	8	-6	0	-10	-12	-16	14	0	0	-6	-10

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Quadratic twists for elliptic curve 9702w3

-4	-3	-7	-11
77616fg4	1078i4	1386c4	106722gt4

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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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