Atkin-Lehner |
2- 31+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
73408bb |
Isogeny class |
Conductor |
73408 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
2275648 = 26 · 312 · 37 |
Discriminant |
Eigenvalues |
2- -1 2 5 -3 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-37,-37] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:5:1] |
Generators of the group modulo torsion |
j |
89915392/35557 |
j-invariant |
L |
7.1039617035265 |
L(r)(E,1)/r! |
Ω |
1.9981488784752 |
Real period |
R |
1.7776357357516 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000095 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73408q1 18352f1 |
Quadratic twists by: -4 8 |