Atkin-Lehner |
2+ 3+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
58176f |
Isogeny class |
Conductor |
58176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
236544 |
Modular degree for the optimal curve |
Δ |
-1499184104472576 = -1 · 239 · 33 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ -3 2 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,28116,421424] |
[a1,a2,a3,a4,a6] |
j |
347280685389/211812352 |
j-invariant |
L |
2.351436830703 |
L(r)(E,1)/r! |
Ω |
0.29392960367467 |
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 |
58176br1 1818i1 58176c2 |
Quadratic twists by: -4 8 -3 |