Atkin-Lehner |
2+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
72800p |
Isogeny class |
Conductor |
72800 |
Conductor |
∏ cp |
12 |
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] |
j |
88490145600000/43682250157 |
j-invariant |
L |
1.5870217036003 |
L(r)(E,1)/r! |
Ω |
0.13225180813562 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72800g1 72800by1 |
Quadratic twists by: -4 5 |