Atkin-Lehner |
2- 5+ 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
62480k |
Isogeny class |
Conductor |
62480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
35477283635200 = 215 · 52 · 112 · 713 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 11- 5 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21856,-1202944] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:110:1] |
Generators of the group modulo torsion |
j |
281900392615009/8661446200 |
j-invariant |
L |
5.2164501644331 |
L(r)(E,1)/r! |
Ω |
0.39338871608514 |
Real period |
R |
1.6575367922459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998261 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7810c1 |
Quadratic twists by: -4 |