Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
67600j |
Isogeny class |
Conductor |
67600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
718848 |
Modular degree for the optimal curve |
Δ |
5098317006250000 = 24 · 58 · 138 |
Discriminant |
Eigenvalues |
2+ -1 5+ -3 -1 13+ -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1775908,-910318813] |
[a1,a2,a3,a4,a6] |
Generators |
[-263459:22625:343] |
Generators of the group modulo torsion |
j |
3037375744/25 |
j-invariant |
L |
3.1147439613987 |
L(r)(E,1)/r! |
Ω |
0.13078099369235 |
Real period |
R |
5.9541219909641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999975077 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33800p1 13520b1 67600g1 |
Quadratic twists by: -4 5 13 |