Atkin-Lehner |
2- 5+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
77350be |
Isogeny class |
Conductor |
77350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
-679751800 = -1 · 23 · 52 · 7 · 134 · 17 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -1 13+ 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,17,1261] |
[a1,a2,a3,a4,a6] |
j |
21653735/27190072 |
j-invariant |
L |
7.5705151717784 |
L(r)(E,1)/r! |
Ω |
1.2617525318886 |
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 |
77350s1 |
Quadratic twists by: 5 |