Atkin-Lehner |
2+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75088c |
Isogeny class |
Conductor |
75088 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
492480 |
Modular degree for the optimal curve |
Δ |
-38208397313102848 = -1 · 210 · 133 · 198 |
Discriminant |
Eigenvalues |
2+ 2 0 0 -5 13+ 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,11432,-9396576] |
[a1,a2,a3,a4,a6] |
Generators |
[3315465203475678:205010258999871698:867431817153] |
Generators of the group modulo torsion |
j |
9500/2197 |
j-invariant |
L |
8.8920939794314 |
L(r)(E,1)/r! |
Ω |
0.17156595967257 |
Real period |
R |
25.914505407722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37544b1 75088m1 |
Quadratic twists by: -4 -19 |