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	11550ce	Isogeny class
Conductor	11550	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	12288	Modular degree for the optimal curve
Δ	13860000000 = 28 · 32 · 57 · 7 · 11	Discriminant
Eigenvalues	2- 3- 5+ 7+ 11+  2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-1938,-32508]	[a1,a2,a3,a4,a6]
Generators	[-24:30:1]	Generators of the group modulo torsion
j	51520374361/887040	j-invariant
L	7.9553659433941	L(r)(E,1)/r!
Ω	0.72030023655162	Real period
R	1.3805642320555	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	92400ej1 34650o1 2310d1 80850dx1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11550ce1

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	-4	-10	-4	10	6	-4	0	2	0	-14	0	0	-2	-8	-4	18	-2

---

Quadratic twists for elliptic curve 11550ce1

-4	-3	5	-7	-11
92400ej1	34650o1	2310d1	80850dx1	127050dl1

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations