Atkin-Lehner |
2+ 3- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
115434n |
Isogeny class |
Conductor |
115434 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
78624 |
Modular degree for the optimal curve |
Δ |
-26330033664 = -1 · 29 · 36 · 113 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -1 2 11+ 3 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1590,-25228] |
[a1,a2,a3,a4,a6] |
j |
-458314011/27136 |
j-invariant |
L |
0.7534415692402 |
L(r)(E,1)/r! |
Ω |
0.37672063828196 |
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 |
12826e1 115434bn1 |
Quadratic twists by: -3 -11 |