Atkin-Lehner |
7- 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
72163f |
Isogeny class |
Conductor |
72163 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
77760 |
Modular degree for the optimal curve |
Δ |
100991324707 = 73 · 136 · 61 |
Discriminant |
Eigenvalues |
1 1 0 7- 5 13+ -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4736,-124889] |
[a1,a2,a3,a4,a6] |
j |
2433138625/20923 |
j-invariant |
L |
3.4548895408001 |
L(r)(E,1)/r! |
Ω |
0.57581492986932 |
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 |
427c1 |
Quadratic twists by: 13 |