Atkin-Lehner |
2- 5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
75400p |
Isogeny class |
Conductor |
75400 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
350208 |
Modular degree for the optimal curve |
Δ |
25760881250000 = 24 · 58 · 132 · 293 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 -2 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-203783,-35475062] |
[a1,a2,a3,a4,a6] |
Generators |
[-261:29:1] |
Generators of the group modulo torsion |
j |
3743602157737984/103043525 |
j-invariant |
L |
2.9783564120995 |
L(r)(E,1)/r! |
Ω |
0.22470260459142 |
Real period |
R |
1.1045549210694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998542 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15080c1 |
Quadratic twists by: 5 |