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	11550co	Isogeny class
Conductor	11550	Conductor
∏ cp	112	Product of Tamagawa factors cp
deg	175616	Modular degree for the optimal curve
Δ	86657574061674000 = 24 · 314 · 53 · 77 · 11	Discriminant
Eigenvalues	2- 3- 5- 7+ 11+  0  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-958223,-360835863]	[a1,a2,a3,a4,a6]
j	778419129671687951621/693260592493392	j-invariant
L	4.2728156534652	L(r)(E,1)/r!
Ω	0.15260055905233	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	92400fp1 34650br1 11550p1 80850ey1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11550co1

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
-	-	-	+	+	0	2	0	6	-4	2	-8	6	-4	0	6	12	-2	-4	0	16	10	14	0	-6

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Quadratic twists for elliptic curve 11550co1

-4	-3	5	-7	-11
92400fp1	34650br1	11550p1	80850ey1	127050eg1

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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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