Atkin-Lehner |
2- 7- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
75166u |
Isogeny class |
Conductor |
75166 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-7817264 = -1 · 24 · 72 · 132 · 59 |
Discriminant |
Eigenvalues |
2- -1 -1 7- -6 13- 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-71,237] |
[a1,a2,a3,a4,a6] |
Generators |
[1:12:1] |
Generators of the group modulo torsion |
j |
-808509121/159536 |
j-invariant |
L |
5.7279804490373 |
L(r)(E,1)/r! |
Ω |
2.2433004990399 |
Real period |
R |
0.31917148702021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75166l1 |
Quadratic twists by: -7 |