Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113568w |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-8831502607741632 = -1 · 26 · 35 · 76 · 136 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- -2 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,35434,-3733692] |
[a1,a2,a3,a4,a6] |
j |
15926924096/28588707 |
j-invariant |
L |
2.5909168808985 |
L(r)(E,1)/r! |
Ω |
0.21590967351358 |
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 |
113568cq1 672d1 |
Quadratic twists by: -4 13 |