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	22800k	Isogeny class
Conductor	22800	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	4389945247872000 = 210 · 36 · 53 · 196	Discriminant
Eigenvalues	2+ 3+ 5-  2  4  2  0 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-66328,-5728448]	[a1,a2,a3,a4,a6]
j	252122146858292/34296447249	j-invariant
L	2.4013832017901	L(r)(E,1)/r!
Ω	0.30017290022377	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	11400bo2 91200je2 68400ck2 22800bj2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 22800k2

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

---

Quadratic twists for elliptic curve 22800k2

-4	8	-3	5
11400bo2	91200je2	68400ck2	22800bj2

---

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