Cremona's table of elliptic curves

1133 = 11 · 103

Field	Data	Notes
Atkin-Lehner	11+ 103-	Signs for the Atkin-Lehner involutions
Class	1133a	Isogeny class
Conductor	1133	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	248	Modular degree for the optimal curve
Δ	-116699 = -1 · 11 · 1032	Discriminant
Eigenvalues	-2  1  3  2 11+  2  0  6	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-164,-866]	[a1,a2,a3,a4,a6]
j	-490795651072/116699	j-invariant
L	1.3334045833514	L(r)(E,1)/r!
Ω	0.66670229167572	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	18128e1 72512l1 10197f1 28325b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1133a1

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	1	3	2	+	2	0	6	3	0	9	-3	6	-8	-8	10	-11	10	3	-5	-2	4	2	-11	9

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Quadratic twists for elliptic curve 1133a1

-4	8	-3	5	-7	-11	-103
18128e1	72512l1	10197f1	28325b1	55517a1	12463e1	116699d1

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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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