Atkin-Lehner |
2- 3+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
107448u |
Isogeny class |
Conductor |
107448 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
540000 |
Modular degree for the optimal curve |
Δ |
-32620758939648 = -1 · 211 · 35 · 116 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -4 1 11- 5 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24240,1486476] |
[a1,a2,a3,a4,a6] |
j |
-434163602/8991 |
j-invariant |
L |
0.65687468928719 |
L(r)(E,1)/r! |
Ω |
0.65687475916825 |
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 |
888a1 |
Quadratic twists by: -11 |