Atkin-Lehner |
3- 5+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
75225p |
Isogeny class |
Conductor |
75225 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
719040 |
Modular degree for the optimal curve |
Δ |
-499541015625 = -1 · 3 · 510 · 172 · 59 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 0 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4922201,4202857673] |
[a1,a2,a3,a4,a6] |
Generators |
[190685467:-95357991:148877] |
Generators of the group modulo torsion |
j |
-1350521725219140625/51153 |
j-invariant |
L |
9.8305279087404 |
L(r)(E,1)/r! |
Ω |
0.49854093841809 |
Real period |
R |
9.8592985555141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000733 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75225f1 |
Quadratic twists by: 5 |