Cremona's table of elliptic curves

25392 = 2⁴ · 3 · 23²

Field	Data	Notes
Atkin-Lehner	2+ 3+ 23-	Signs for the Atkin-Lehner involutions
Class	25392a	Isogeny class
Conductor	25392	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	1059840	Modular degree for the optimal curve
Δ	-2.7227203457723E+19	Discriminant
Eigenvalues	2+ 3+  2 -2 -4 -6  6 -6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-3938052,3019719168]	[a1,a2,a3,a4,a6]
j	-14647977776/59049	j-invariant
L	0.42374173970723	L(r)(E,1)/r!
Ω	0.21187086985361	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	12696p1 101568do1 76176v1 25392d1	Quadratic twists by: -4 8 -3 -23

Hecke Eigenvalues for elliptic curve 25392a1

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	-2	-4	-6	6	-6	-	-6	-8	8	-6	10	-4	-2	-8	8	-10	8	-10	-6	-12	18	-12

---

Quadratic twists for elliptic curve 25392a1

-4	8	-3	-23
12696p1	101568do1	76176v1	25392d1

---

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