Atkin-Lehner |
2- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
50752i |
Isogeny class |
Conductor |
50752 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
10556416 = 210 · 132 · 61 |
Discriminant |
Eigenvalues |
2- 0 2 -4 4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-64,120] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:15:1] |
Generators of the group modulo torsion |
j |
28311552/10309 |
j-invariant |
L |
5.2113261773888 |
L(r)(E,1)/r! |
Ω |
2.0887364626136 |
Real period |
R |
2.4949658660358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000045 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50752b1 12688f1 |
Quadratic twists by: -4 8 |