Atkin-Lehner |
2- 5+ 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
69700g |
Isogeny class |
Conductor |
69700 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
174250000 = 24 · 56 · 17 · 41 |
Discriminant |
Eigenvalues |
2- -3 5+ 3 4 2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15025,-708875] |
[a1,a2,a3,a4,a6] |
Generators |
[-347820:1825:4913] |
Generators of the group modulo torsion |
j |
1500469408512/697 |
j-invariant |
L |
4.6820541855611 |
L(r)(E,1)/r! |
Ω |
0.43121707225748 |
Real period |
R |
5.4288831390194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997633 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2788c1 |
Quadratic twists by: 5 |