Atkin-Lehner |
3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
27075q |
Isogeny class |
Conductor |
27075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
41900237765625 = 3 · 56 · 197 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 0 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13726,533723] |
[a1,a2,a3,a4,a6] |
Generators |
[2978334:64173817:5832] |
Generators of the group modulo torsion |
j |
389017/57 |
j-invariant |
L |
8.3555907073264 |
L(r)(E,1)/r! |
Ω |
0.61724743862611 |
Real period |
R |
6.7684288216121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81225bd1 1083b1 1425a1 |
Quadratic twists by: -3 5 -19 |