Cremona's table of elliptic curves

22800 = 2⁴ · 3 · 5² · 19

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 19+	Signs for the Atkin-Lehner involutions
Class	22800c	Isogeny class
Conductor	22800	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	68400000000 = 210 · 32 · 58 · 19	Discriminant
Eigenvalues	2+ 3+ 5+  2 -6 -4  2 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-10008,388512]	[a1,a2,a3,a4,a6]
Generators	[-18:750:1]	Generators of the group modulo torsion
j	6929294404/4275	j-invariant
L	4.0786102925678	L(r)(E,1)/r!
Ω	1.0862289875201	Real period
R	0.93870867455849	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	11400k2 91200id2 68400bj2 4560i2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 22800c2

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 22800c2

-4	8	-3	5
11400k2	91200id2	68400bj2	4560i2

---

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