Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
63700n |
Isogeny class |
Conductor |
63700 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
24853351250000 = 24 · 57 · 76 · 132 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-344633,-77757238] |
[a1,a2,a3,a4,a6] |
Generators |
[19507:2723175:1] |
Generators of the group modulo torsion |
j |
153910165504/845 |
j-invariant |
L |
9.9154826387692 |
L(r)(E,1)/r! |
Ω |
0.19704271258945 |
Real period |
R |
4.1934573933276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998529 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12740g1 1300d1 |
Quadratic twists by: 5 -7 |