Cremona's table of elliptic curves

11400 = 2³ · 3 · 5² · 19

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 19-	Signs for the Atkin-Lehner involutions
Class	11400k	Isogeny class
Conductor	11400	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	9216	Modular degree for the optimal curve
Δ	-21660000000 = -1 · 28 · 3 · 57 · 192	Discriminant
Eigenvalues	2+ 3- 5+ -2  6 -4  2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-508,-8512]	[a1,a2,a3,a4,a6]
Generators	[3549:40166:27]	Generators of the group modulo torsion
j	-3631696/5415	j-invariant
L	5.4540970981611	L(r)(E,1)/r!
Ω	0.4773371071563	Real period
R	5.7130453681398	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	22800c1 91200i1 34200co1 2280g1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11400k1

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	-4	2	-	-4	0	-8	-8	0	2	-4	14	0	-14	-8	8	2	0	-12	-8	4

---

Quadratic twists for elliptic curve 11400k1

-4	8	-3	5
22800c1	91200i1	34200co1	2280g1

---

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