Atkin-Lehner |
2- 3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
72384dt |
Isogeny class |
Conductor |
72384 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
515584 |
Modular degree for the optimal curve |
Δ |
-14358038873997312 = -1 · 215 · 319 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 4 5 13- -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-49153,7113119] |
[a1,a2,a3,a4,a6] |
Generators |
[50:2187:1] |
Generators of the group modulo torsion |
j |
-400804604117000/438172573059 |
j-invariant |
L |
10.373807240401 |
L(r)(E,1)/r! |
Ω |
0.35909236599075 |
Real period |
R |
0.7602359537504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001301 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72384cn1 36192u1 |
Quadratic twists by: -4 8 |