Cremona's table of elliptic curves

13200 = 2⁴ · 3 · 5² · 11

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 11-	Signs for the Atkin-Lehner involutions
Class	13200u	Isogeny class
Conductor	13200	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	-102892262880000000 = -1 · 211 · 3 · 57 · 118	Discriminant
Eigenvalues	2+ 3- 5+  0 11-  2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-106008,20327988]	[a1,a2,a3,a4,a6]
Generators	[98:3300:1]	Generators of the group modulo torsion
j	-4117122162722/3215383215	j-invariant
L	5.8983599518127	L(r)(E,1)/r!
Ω	0.30816817023606	Real period
R	0.59812714711242	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	6600a6 52800dz5 39600e5 2640f6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 13200u6

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

---

Quadratic twists for elliptic curve 13200u6

-4	8	-3	5
6600a6	52800dz5	39600e5	2640f6

---

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