Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950ia |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
deg |
2654208 |
Modular degree for the optimal curve |
Δ |
-1.8434891670694E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,657187,25027617] |
[a1,a2,a3,a4,a6] |
Generators |
[412:-19331:1] |
Generators of the group modulo torsion |
j |
17075848639751/10028415600 |
j-invariant |
L |
13.005822651025 |
L(r)(E,1)/r! |
Ω |
0.13218525495848 |
Real period |
R |
0.68326995058872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025499 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990k1 17850bb1 |
Quadratic twists by: 5 -7 |