Atkin-Lehner |
3- 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
112167q |
Isogeny class |
Conductor |
112167 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
892800 |
Modular degree for the optimal curve |
Δ |
-150713020514331 = -1 · 36 · 117 · 1032 |
Discriminant |
Eigenvalues |
-2 3- -3 -2 11- -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-178959,-29145240] |
[a1,a2,a3,a4,a6] |
j |
-490795651072/116699 |
j-invariant |
L |
0.46423231589058 |
L(r)(E,1)/r! |
Ω |
0.1160579721552 |
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 |
12463e1 10197f1 |
Quadratic twists by: -3 -11 |