Atkin-Lehner |
3- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
32193g |
Isogeny class |
Conductor |
32193 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-521841990603717 = -1 · 311 · 79 · 73 |
Discriminant |
Eigenvalues |
1 3- 2 7- 2 -5 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9711,-1156730] |
[a1,a2,a3,a4,a6] |
j |
-3442951/17739 |
j-invariant |
L |
1.7341483469112 |
L(r)(E,1)/r! |
Ω |
0.2167685433643 |
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 |
10731c1 32193e1 |
Quadratic twists by: -3 -7 |