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	52800dm	Isogeny class
Conductor	52800	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	230400	Modular degree for the optimal curve
Δ	-474958725120000 = -1 · 219 · 32 · 54 · 115	Discriminant
Eigenvalues	2+ 3- 5-  2 11+ -1 -8  5	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,7967,-1009537]	[a1,a2,a3,a4,a6]
Generators	[83:480:1]	Generators of the group modulo torsion
j	341297975/2898918	j-invariant
L	7.6774990212152	L(r)(E,1)/r!
Ω	0.26036796432915	Real period
R	1.2286296179842	Regulator
r	1	Rank of the group of rational points
S	1.000000000005	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	52800fp1 1650c1 52800l2	Quadratic twists by: -4 8 5

Hecke Eigenvalues for elliptic curve 52800dm1

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	+	-1	-8	5	-9	-5	7	-2	2	9	12	4	10	-2	-2	-13	-14	0	-1	-15	7

---

Quadratic twists for elliptic curve 52800dm1

-4	8	5
52800fp1	1650c1	52800l2

---

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