Cremona's table of elliptic curves

52800 = 2⁶ · 3 · 5² · 11

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 11+	Signs for the Atkin-Lehner involutions
Class	52800ed	Isogeny class
Conductor	52800	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	10368	Modular degree for the optimal curve
Δ	-5227200 = -1 · 26 · 33 · 52 · 112	Discriminant
Eigenvalues	2- 3+ 5+ -1 11+ -1  6 -7	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-93,-333]	[a1,a2,a3,a4,a6]
j	-56197120/3267	j-invariant
L	1.5308349091465	L(r)(E,1)/r!
Ω	0.76541745505311	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	52800cs1 13200ch1 52800hi1	Quadratic twists by: -4 8 5

Hecke Eigenvalues for elliptic curve 52800ed1

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
-	+	+	-1	+	-1	6	-7	6	6	7	2	-6	1	0	-6	0	-5	-5	12	-14	4	6	6	-17

---

Quadratic twists for elliptic curve 52800ed1

-4	8	5
52800cs1	13200ch1	52800hi1

---

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