Atkin-Lehner |
2- 3- 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
86730cv |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
432163742019382800 = 24 · 33 · 52 · 714 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-197520,11868912] |
[a1,a2,a3,a4,a6] |
j |
7243839850989169/3673331197200 |
j-invariant |
L |
6.3151737331219 |
L(r)(E,1)/r! |
Ω |
0.26313224063982 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12390n1 |
Quadratic twists by: -7 |