Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
109368bz |
Isogeny class |
Conductor |
109368 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
7937491968 = 210 · 36 · 73 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-819,-7938] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:28:1] |
Generators of the group modulo torsion |
j |
237276/31 |
j-invariant |
L |
7.4454899735333 |
L(r)(E,1)/r! |
Ω |
0.90013101694437 |
Real period |
R |
2.067890631745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999790528 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12152b1 109368bq1 |
Quadratic twists by: -3 -7 |