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	25200dt	Isogeny class
Conductor	25200	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-1224720000000000 = -1 · 213 · 37 · 510 · 7	Discriminant
Eigenvalues	2- 3- 5+ 7+  2 -1 -3  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-15751875,-24062818750]	[a1,a2,a3,a4,a6]
Generators	[3269851739:-5125101812568:1331]	Generators of the group modulo torsion
j	-14822892630025/42	j-invariant
L	5.108576975111	L(r)(E,1)/r!
Ω	0.037891037310604	Real period
R	16.852854057658	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	3150n2 100800ll2 8400bh2 25200fn1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 25200dt2

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	-3	0	-1	5	-7	-2	-7	11	8	1	-5	-3	12	12	-6	-10	-11	10	-2

---

Quadratic twists for elliptic curve 25200dt2

-4	8	-3	5
3150n2	100800ll2	8400bh2	25200fn1

---

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