Atkin-Lehner |
5- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
86975ba |
Isogeny class |
Conductor |
86975 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
351232 |
Modular degree for the optimal curve |
Δ |
-25427816610875 = -1 · 53 · 79 · 712 |
Discriminant |
Eigenvalues |
0 3 5- 7- -5 1 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,6860,-105044] |
[a1,a2,a3,a4,a6] |
j |
7077888/5041 |
j-invariant |
L |
3.0211528995092 |
L(r)(E,1)/r! |
Ω |
0.37764412798814 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86975bc1 86975bb1 |
Quadratic twists by: 5 -7 |