Atkin-Lehner |
2+ 3+ 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
71094d |
Isogeny class |
Conductor |
71094 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
409088 |
Modular degree for the optimal curve |
Δ |
175035705709572 = 22 · 32 · 179 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -4 0 4 4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14022,-63360] |
[a1,a2,a3,a4,a6] |
j |
2571353/1476 |
j-invariant |
L |
0.95288912749127 |
L(r)(E,1)/r! |
Ω |
0.47644455469004 |
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 |
71094i1 |
Quadratic twists by: 17 |