Atkin-Lehner |
2+ 3- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
53802p |
Isogeny class |
Conductor |
53802 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
9375266218752 = 28 · 36 · 77 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 5 0 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5742,81108] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:426:1] |
Generators of the group modulo torsion |
j |
244140625/109312 |
j-invariant |
L |
4.7926386360673 |
L(r)(E,1)/r! |
Ω |
0.65454333852067 |
Real period |
R |
0.91526380952428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999206 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5978i1 7686f1 |
Quadratic twists by: -3 -7 |