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	9702u	Isogeny class
Conductor	9702	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	-1876154071468110588 = -1 · 22 · 38 · 79 · 116	Discriminant
Eigenvalues	2+ 3-  0 7- 11- -2  0 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-362952,-106803572]	[a1,a2,a3,a4,a6]
j	-61653281712625/21875235228	j-invariant
L	1.1466068210184	L(r)(E,1)/r!
Ω	0.095550568418203	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	77616eu3 3234p3 1386d3 106722gi3	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 9702u3

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	-2	0	6	-2	2	0	-4	-6	6	0	-2	-4	12	4	8	6	-6	-2

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Quadratic twists for elliptic curve 9702u3

-4	-3	-7	-11
77616eu3	3234p3	1386d3	106722gi3

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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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