Cremona's table of elliptic curves

9108 = 2² · 3² · 11 · 23

Field	Data	Notes
Atkin-Lehner	2- 3- 11+ 23+	Signs for the Atkin-Lehner involutions
Class	9108j	Isogeny class
Conductor	9108	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	11520	Modular degree for the optimal curve
Δ	174253126608 = 24 · 316 · 11 · 23	Discriminant
Eigenvalues	2- 3-  4  0 11+ -2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1488,9205]	[a1,a2,a3,a4,a6]
Generators	[1235:43380:1]	Generators of the group modulo torsion
j	31238127616/14939397	j-invariant
L	5.4599148969873	L(r)(E,1)/r!
Ω	0.90517551465949	Real period
R	6.0318853178892	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	36432cv1 3036j1 100188x1	Quadratic twists by: -4 -3 -11

Hecke Eigenvalues for elliptic curve 9108j1

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

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Quadratic twists for elliptic curve 9108j1

-4	-3	-11
36432cv1	3036j1	100188x1

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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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