Atkin-Lehner |
2- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
109520i |
Isogeny class |
Conductor |
109520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
787968 |
Modular degree for the optimal curve |
Δ |
9721024218419200 = 212 · 52 · 377 |
Discriminant |
Eigenvalues |
2- 1 5+ 3 5 -4 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-116821,-14657021] |
[a1,a2,a3,a4,a6] |
j |
16777216/925 |
j-invariant |
L |
2.0729961421557 |
L(r)(E,1)/r! |
Ω |
0.25912459259998 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6845a1 2960m1 |
Quadratic twists by: -4 37 |