Cremona's table of elliptic curves

11550 = 2 · 3 · 5² · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 7- 11+	Signs for the Atkin-Lehner involutions
Class	11550bs	Isogeny class
Conductor	11550	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	2626629714843750 = 2 · 38 · 59 · 7 · 114	Discriminant
Eigenvalues	2- 3+ 5+ 7- 11+  6  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-238438,-44845219]	[a1,a2,a3,a4,a6]
Generators	[36116:35613:64]	Generators of the group modulo torsion
j	95946737295893401/168104301750	j-invariant
L	6.3236392943923	L(r)(E,1)/r!
Ω	0.21607343836175	Real period
R	7.3165393932009	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	92400gs4 34650bn4 2310k3 80850gh4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11550bs3

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

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Quadratic twists for elliptic curve 11550bs3

-4	-3	5	-7	-11
92400gs4	34650bn4	2310k3	80850gh4	127050n4

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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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