Atkin-Lehner |
3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
40425cz |
Isogeny class |
Conductor |
40425 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-83546953875 = -1 · 311 · 53 · 73 · 11 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 11- 0 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,187,13934] |
[a1,a2,a3,a4,a6] |
Generators |
[58:472:1] |
Generators of the group modulo torsion |
j |
16777216/1948617 |
j-invariant |
L |
6.0228765042884 |
L(r)(E,1)/r! |
Ω |
0.82944879944094 |
Real period |
R |
0.16502954372591 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275ff1 40425bj1 40425bk1 |
Quadratic twists by: -3 5 -7 |