Atkin-Lehner |
2+ 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330cd |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
1427148253440 = 28 · 36 · 5 · 76 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2949,-21547] |
[a1,a2,a3,a4,a6] |
j |
33076161/16640 |
j-invariant |
L |
2.7315882720507 |
L(r)(E,1)/r! |
Ω |
0.68289706861727 |
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 |
6370l1 1170c1 |
Quadratic twists by: -3 -7 |