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	11550cj	Isogeny class
Conductor	11550	Conductor
∏ cp	80	Product of Tamagawa factors cp
Δ	7596342845437500000 = 25 · 34 · 59 · 7 · 118	Discriminant
Eigenvalues	2- 3- 5+ 7- 11+  2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-3801963,2849982417]	[a1,a2,a3,a4,a6]
j	388980071198593573609/486165942108000	j-invariant
L	4.6778850704072	L(r)(E,1)/r!
Ω	0.23389425352036	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	92400dr4 34650bh4 2310a3 80850dw4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11550cj3

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

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Quadratic twists for elliptic curve 11550cj3

-4	-3	5	-7	-11
92400dr4	34650bh4	2310a3	80850dw4	127050cs4

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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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