Atkin-Lehner |
2+ 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
128960i |
Isogeny class |
Conductor |
128960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-41912000 = -1 · 26 · 53 · 132 · 31 |
Discriminant |
Eigenvalues |
2+ 3 5+ -4 6 13- -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-508,4418] |
[a1,a2,a3,a4,a6] |
j |
-226534772736/654875 |
j-invariant |
L |
4.0825105079408 |
L(r)(E,1)/r! |
Ω |
2.0412531736181 |
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 |
128960be1 2015c1 |
Quadratic twists by: -4 8 |