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	11550s	Isogeny class
Conductor	11550	Conductor
∏ cp	192	Product of Tamagawa factors cp
Δ	-5.6533898252594E+27	Discriminant
Eigenvalues	2+ 3- 5+ 7+ 11+  2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,264282749,3217458066398]	[a1,a2,a3,a4,a6]
j	130650216943167617311657439/361816948816603087500000	j-invariant
L	1.4405465755448	L(r)(E,1)/r!
Ω	0.030011386990516	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	92400ek5 34650cv5 2310o6 80850j5	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11550s6

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	-4	-8	6	8	2	2	-4	-8	10	-12	-2	4	8	-2	16	4	-14	-10

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Quadratic twists for elliptic curve 11550s6

-4	-3	5	-7	-11
92400ek5	34650cv5	2310o6	80850j5	127050hz5

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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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