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	11550t	Isogeny class
Conductor	11550	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	69120	Modular degree for the optimal curve
Δ	10963476562500 = 22 · 36 · 511 · 7 · 11	Discriminant
Eigenvalues	2+ 3- 5+ 7+ 11+ -4  4  8	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-124876,-16994602]	[a1,a2,a3,a4,a6]
j	13782741913468081/701662500	j-invariant
L	1.5238169620358	L(r)(E,1)/r!
Ω	0.25396949367263	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	92400es1 34650de1 2310p1 80850n1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11550t1

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
+	-	+	+	+	-4	4	8	-2	-6	-4	-4	2	-4	4	-2	0	10	-14	8	10	4	4	16	14

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Quadratic twists for elliptic curve 11550t1

-4	-3	5	-7	-11
92400es1	34650de1	2310p1	80850n1	127050ie1

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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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