Atkin-Lehner |
2+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
72800n |
Isogeny class |
Conductor |
72800 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
5222400 |
Modular degree for the optimal curve |
Δ |
5.2440541313478E+20 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 4 13+ 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15750658,-24040041312] |
[a1,a2,a3,a4,a6] |
j |
432135399877565634496/524405413134785 |
j-invariant |
L |
1.5157811921108 |
L(r)(E,1)/r! |
Ω |
0.075789060386719 |
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 |
72800bh1 14560k1 |
Quadratic twists by: -4 5 |