Atkin-Lehner |
2- 3- 7+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
108528bg |
Isogeny class |
Conductor |
108528 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
57467149221888 = 218 · 36 · 72 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -2 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-201608,-34907916] |
[a1,a2,a3,a4,a6] |
Generators |
[-260:42:1] |
Generators of the group modulo torsion |
j |
221253017454015625/14030065728 |
j-invariant |
L |
7.1264073905255 |
L(r)(E,1)/r! |
Ω |
0.22530668994906 |
Real period |
R |
1.3179086727077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019162 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13566d1 |
Quadratic twists by: -4 |