Atkin-Lehner |
2- 5+ 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
62480k |
Isogeny class |
Conductor |
62480 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
16099946368000000 = 213 · 56 · 116 · 71 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 11- 5 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-237696,44264320] |
[a1,a2,a3,a4,a6] |
Generators |
[178:2750:1] |
Generators of the group modulo torsion |
j |
362602848466723969/3930650968750 |
j-invariant |
L |
5.2164501644331 |
L(r)(E,1)/r! |
Ω |
0.39338871608514 |
Real period |
R |
0.55251226408196 |
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 |
7810c2 |
Quadratic twists by: -4 |