Atkin-Lehner |
2+ 3- 5- 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
104550bd |
Isogeny class |
Conductor |
104550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
783360 |
Modular degree for the optimal curve |
Δ |
79206678528000 = 220 · 3 · 53 · 173 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 -3 1 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-347706,-78943892] |
[a1,a2,a3,a4,a6] |
j |
37191907957536186317/633653428224 |
j-invariant |
L |
2.3592737743086 |
L(r)(E,1)/r! |
Ω |
0.19660615146666 |
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 |
104550bl1 |
Quadratic twists by: 5 |