Atkin-Lehner |
2- 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
109368bd |
Isogeny class |
Conductor |
109368 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
59136 |
Modular degree for the optimal curve |
Δ |
514467072 = 28 · 33 · 74 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -5 -2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2940,61348] |
[a1,a2,a3,a4,a6] |
Generators |
[32:6:1] |
Generators of the group modulo torsion |
j |
169344000/31 |
j-invariant |
L |
6.0097587571971 |
L(r)(E,1)/r! |
Ω |
1.6008194615101 |
Real period |
R |
0.93854412533051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999200249 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109368b1 109368bf1 |
Quadratic twists by: -3 -7 |