Atkin-Lehner |
2+ 3- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
71094f |
Isogeny class |
Conductor |
71094 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
5450938932132 = 22 · 34 · 177 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 4 0 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5931,-135710] |
[a1,a2,a3,a4,a6] |
j |
955671625/225828 |
j-invariant |
L |
2.2133541987378 |
L(r)(E,1)/r! |
Ω |
0.5533385516576 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4182c1 |
Quadratic twists by: 17 |