Cremona's table of elliptic curves

913 = 11 · 83

Field	Data	Notes
Atkin-Lehner	11+ 83-	Signs for the Atkin-Lehner involutions
Class	913a	Isogeny class
Conductor	913	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	120	Modular degree for the optimal curve
Δ	-13367233 = -1 · 115 · 83	Discriminant
Eigenvalues	-1  0  0 -1 11+  1  0  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-115,-476]	[a1,a2,a3,a4,a6]
j	-166829162625/13367233	j-invariant
L	0.72610787366417	L(r)(E,1)/r!
Ω	0.72610787366417	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	14608c1 58432d1 8217i1 22825a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 913a1

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
-1	0	0	-1	+	1	0	2	-2	10	4	7	-2	10	-8	8	12	-8	13	13	11	0	-	6	0

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Quadratic twists for elliptic curve 913a1

-4	8	-3	5	-7	-11	-83
14608c1	58432d1	8217i1	22825a1	44737b1	10043a1	75779a1

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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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