Atkin-Lehner |
2- 5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
75400o |
Isogeny class |
Conductor |
75400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
177661250000 = 24 · 57 · 132 · 292 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 -4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5922050,5546975125] |
[a1,a2,a3,a4,a6] |
Generators |
[582715:6768600:343] |
Generators of the group modulo torsion |
j |
91875541747882530816/710645 |
j-invariant |
L |
6.8017013512119 |
L(r)(E,1)/r! |
Ω |
0.50048606567074 |
Real period |
R |
6.7950956246023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001742 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15080e1 |
Quadratic twists by: 5 |