Atkin-Lehner |
2+ 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
35392d |
Isogeny class |
Conductor |
35392 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-8768155648 = -1 · 212 · 73 · 792 |
Discriminant |
Eigenvalues |
2+ 2 0 7+ -4 0 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,247,4169] |
[a1,a2,a3,a4,a6] |
j |
405224000/2140663 |
j-invariant |
L |
1.8778567304028 |
L(r)(E,1)/r! |
Ω |
0.93892836520513 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35392j1 17696e1 |
Quadratic twists by: -4 8 |