Atkin-Lehner |
7- 37+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
77959a |
Isogeny class |
Conductor |
77959 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
3145926848113 = 711 · 37 · 43 |
Discriminant |
Eigenvalues |
-1 -1 2 7- 3 1 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-113387,14648304] |
[a1,a2,a3,a4,a6] |
j |
1370331073946017/26739937 |
j-invariant |
L |
1.4701451609902 |
L(r)(E,1)/r! |
Ω |
0.73507255289018 |
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 |
11137a1 |
Quadratic twists by: -7 |