Atkin-Lehner |
7+ 29+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
58261b |
Isogeny class |
Conductor |
58261 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
101808 |
Modular degree for the optimal curve |
Δ |
-11522159641909 = -1 · 78 · 29 · 413 |
Discriminant |
Eigenvalues |
1 2 -1 7+ 2 4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1837,161246] |
[a1,a2,a3,a4,a6] |
j |
118822151/1998709 |
j-invariant |
L |
4.7984766353822 |
L(r)(E,1)/r! |
Ω |
0.53316407115686 |
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 |
58261e1 |
Quadratic twists by: -7 |