Atkin-Lehner |
2- 3- 5- 31+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
103230bd |
Isogeny class |
Conductor |
103230 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
577955865600 = 210 · 39 · 52 · 31 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6287,189911] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:574:1] |
Generators of the group modulo torsion |
j |
37693095294889/792806400 |
j-invariant |
L |
11.540907379433 |
L(r)(E,1)/r! |
Ω |
0.91880094551505 |
Real period |
R |
0.628041766006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000094 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34410f1 |
Quadratic twists by: -3 |