Atkin-Lehner |
2- 5- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
52700j |
Isogeny class |
Conductor |
52700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
8256 |
Modular degree for the optimal curve |
Δ |
16864000 = 28 · 53 · 17 · 31 |
Discriminant |
Eigenvalues |
2- 1 5- 0 6 1 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-68,68] |
[a1,a2,a3,a4,a6] |
Generators |
[8:10:1] |
Generators of the group modulo torsion |
j |
1102736/527 |
j-invariant |
L |
7.7419967013454 |
L(r)(E,1)/r! |
Ω |
1.9556522636043 |
Real period |
R |
0.6597966354125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999584 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52700h1 |
Quadratic twists by: 5 |