Atkin-Lehner |
2- 5+ 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
77350bj |
Isogeny class |
Conductor |
77350 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
946176 |
Modular degree for the optimal curve |
Δ |
-6080328800000000 = -1 · 211 · 58 · 7 · 13 · 174 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- 1 13- 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,37620,-2496753] |
[a1,a2,a3,a4,a6] |
Generators |
[109:1645:1] |
Generators of the group modulo torsion |
j |
376852050302391/389141043200 |
j-invariant |
L |
6.051335136322 |
L(r)(E,1)/r! |
Ω |
0.23053737919239 |
Real period |
R |
0.29828209297832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004132 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15470a1 |
Quadratic twists by: 5 |