Atkin-Lehner |
7- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
58667g |
Isogeny class |
Conductor |
58667 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-1416078760523 = -1 · 7 · 178 · 29 |
Discriminant |
Eigenvalues |
0 -1 -4 7- 4 2 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-6165,-192873] |
[a1,a2,a3,a4,a6] |
Generators |
[1009:31934:1] |
Generators of the group modulo torsion |
j |
-1073741824/58667 |
j-invariant |
L |
2.911871393266 |
L(r)(E,1)/r! |
Ω |
0.2685366155583 |
Real period |
R |
2.7108699751699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995297 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3451b1 |
Quadratic twists by: 17 |