Atkin-Lehner |
2+ 3+ 5+ 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
104550b |
Isogeny class |
Conductor |
104550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
430848 |
Modular degree for the optimal curve |
Δ |
184521921902550 = 2 · 317 · 52 · 17 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 5 -4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-16720,508210] |
[a1,a2,a3,a4,a6] |
j |
20679170184542065/7380876876102 |
j-invariant |
L |
1.0424011499715 |
L(r)(E,1)/r! |
Ω |
0.52120080071446 |
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 |
104550cp1 |
Quadratic twists by: 5 |