Cremona's table of elliptic curves

25200 = 2⁴ · 3² · 5² · 7

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 7-	Signs for the Atkin-Lehner involutions
Class	25200cw	Isogeny class
Conductor	25200	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	70543872000000000 = 218 · 39 · 59 · 7	Discriminant
Eigenvalues	2- 3+ 5+ 7-  0 -2  0 -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-168075,23240250]	[a1,a2,a3,a4,a6]
Generators	[-321:6642:1]	Generators of the group modulo torsion
j	416832723/56000	j-invariant
L	5.4420073661317	L(r)(E,1)/r!
Ω	0.33337348544649	Real period
R	4.0810139405982	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	3150w3 100800jo3 25200cx1 5040u3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 25200cw3

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	0	-2	0	6	-8	4	6	2	-6	-6	-12	8	2	-6	-2	16	0	6	10

---

Quadratic twists for elliptic curve 25200cw3

-4	8	-3	5
3150w3	100800jo3	25200cx1	5040u3

---

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