Atkin-Lehner |
3+ 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
7191b |
Isogeny class |
Conductor |
7191 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5952 |
Modular degree for the optimal curve |
Δ |
267354189 = 39 · 172 · 47 |
Discriminant |
Eigenvalues |
2 3+ 1 -5 3 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-567,-5137] |
[a1,a2,a3,a4,a6] |
j |
1024192512/13583 |
j-invariant |
L |
3.9166277841602 |
L(r)(E,1)/r! |
Ω |
0.97915694604006 |
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 |
115056m1 7191a1 122247a1 |
Quadratic twists by: -4 -3 17 |