Atkin-Lehner |
3- 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
87975be |
Isogeny class |
Conductor |
87975 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1088640 |
Modular degree for the optimal curve |
Δ |
-18502482744140625 = -1 · 36 · 510 · 173 · 232 |
Discriminant |
Eigenvalues |
-1 3- 5+ -1 4 5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1626680,-798168428] |
[a1,a2,a3,a4,a6] |
j |
-66865526921025/2598977 |
j-invariant |
L |
1.6041844310112 |
L(r)(E,1)/r! |
Ω |
0.066841014868629 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9775a1 87975bg1 |
Quadratic twists by: -3 5 |