Atkin-Lehner |
3- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
7191i |
Isogeny class |
Conductor |
7191 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1675520 |
Modular degree for the optimal curve |
Δ |
1.3783887086988E+25 |
Discriminant |
Eigenvalues |
0 3- -3 3 3 6 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-110573994,410342523660] |
[a1,a2,a3,a4,a6] |
j |
205095047944763221180383232/18907938390930371630541 |
j-invariant |
L |
1.9239214188713 |
L(r)(E,1)/r! |
Ω |
0.068711479245402 |
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 |
115056bd1 2397b1 122247o1 |
Quadratic twists by: -4 -3 17 |