Atkin-Lehner |
2+ 3- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
128502v |
Isogeny class |
Conductor |
128502 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
432000 |
Modular degree for the optimal curve |
Δ |
-111094657629318 = -1 · 2 · 312 · 116 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 0 1 11- -5 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,10323,-309501] |
[a1,a2,a3,a4,a6] |
j |
94196375/86022 |
j-invariant |
L |
0.65020170690903 |
L(r)(E,1)/r! |
Ω |
0.32509956800004 |
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 |
42834bd1 1062j1 |
Quadratic twists by: -3 -11 |