Atkin-Lehner |
2+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
72800g |
Isogeny class |
Conductor |
72800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5990400 |
Modular degree for the optimal curve |
Δ |
1.74729000628E+21 |
Discriminant |
Eigenvalues |
2+ 3 5+ 7+ -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3175000,-834850000] |
[a1,a2,a3,a4,a6] |
Generators |
[-1002723815551746:27603249375863861:802801184184] |
Generators of the group modulo torsion |
j |
88490145600000/43682250157 |
j-invariant |
L |
10.939270811976 |
L(r)(E,1)/r! |
Ω |
0.11896195256649 |
Real period |
R |
22.989011562042 |
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 |
72800p1 72800cj1 |
Quadratic twists by: -4 5 |