Atkin-Lehner |
2- 3- 31- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
59148l |
Isogeny class |
Conductor |
59148 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
22272 |
Modular degree for the optimal curve |
Δ |
-1015689456 = -1 · 24 · 36 · 31 · 532 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 -4 2 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,171,1269] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-53:1] [-3:27:1] |
Generators of the group modulo torsion |
j |
47409408/87079 |
j-invariant |
L |
8.0569322818239 |
L(r)(E,1)/r! |
Ω |
1.0722600506127 |
Real period |
R |
0.62616435546801 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999903 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6572f1 |
Quadratic twists by: -3 |