Atkin-Lehner |
2- 3- 5+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
115050ca |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-68727993750000 = -1 · 24 · 35 · 58 · 13 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 13- 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8188,-491008] |
[a1,a2,a3,a4,a6] |
j |
-3885442650361/4398591600 |
j-invariant |
L |
9.6140684451525 |
L(r)(E,1)/r! |
Ω |
0.2403517267318 |
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 |
23010d1 |
Quadratic twists by: 5 |