Cremona's table of elliptic curves

9114 = 2 · 3 · 7² · 31

Field	Data	Notes
Atkin-Lehner	2+ 3+ 7- 31-	Signs for the Atkin-Lehner involutions
Class	9114h	Isogeny class
Conductor	9114	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	1025686570608 = 24 · 34 · 77 · 312	Discriminant
Eigenvalues	2+ 3+  2 7- -6 -4  0  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-28984,-1910768]	[a1,a2,a3,a4,a6]
Generators	[-99:74:1]	Generators of the group modulo torsion
j	22889370414457/8718192	j-invariant
L	2.7685981450654	L(r)(E,1)/r!
Ω	0.36590466862798	Real period
R	0.94580582814326	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	72912ck2 27342bs2 1302g2	Quadratic twists by: -4 -3 -7

Hecke Eigenvalues for elliptic curve 9114h2

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

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Quadratic twists for elliptic curve 9114h2

-4	-3	-7
72912ck2	27342bs2	1302g2

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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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