Atkin-Lehner |
13+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
7163b |
Isogeny class |
Conductor |
7163 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
11808 |
Modular degree for the optimal curve |
Δ |
-164751815059 = -1 · 134 · 193 · 292 |
Discriminant |
Eigenvalues |
2 2 3 3 5 13+ 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-294,19723] |
[a1,a2,a3,a4,a6] |
j |
-2819954225152/164751815059 |
j-invariant |
L |
10.130524669812 |
L(r)(E,1)/r! |
Ω |
0.84421038915099 |
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 |
114608d1 64467o1 93119b1 |
Quadratic twists by: -4 -3 13 |