Cremona's table of elliptic curves

11900 = 2² · 5² · 7 · 17

Field	Data	Notes
Atkin-Lehner	2- 5+ 7+ 17-	Signs for the Atkin-Lehner involutions
Class	11900b	Isogeny class
Conductor	11900	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	12096	Modular degree for the optimal curve
Δ	-59500000000 = -1 · 28 · 59 · 7 · 17	Discriminant
Eigenvalues	2-  2 5+ 7+  6 -5 17-  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,867,6137]	[a1,a2,a3,a4,a6]
Generators	[106:1125:8]	Generators of the group modulo torsion
j	17997824/14875	j-invariant
L	6.5090038937462	L(r)(E,1)/r!
Ω	0.71837366571183	Real period
R	2.2651873963449	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	47600bf1 107100z1 2380a1 83300p1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11900b1

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	+	+	6	-5	-	2	-3	-6	-7	-5	-3	4	3	-6	6	-1	-2	12	4	-4	-9	-6	-8

---

Quadratic twists for elliptic curve 11900b1

-4	-3	5	-7
47600bf1	107100z1	2380a1	83300p1

---

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