Atkin-Lehner |
2- 7- 17- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
118286u |
Isogeny class |
Conductor |
118286 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
45360 |
Modular degree for the optimal curve |
Δ |
-284004686 = -1 · 2 · 76 · 17 · 71 |
Discriminant |
Eigenvalues |
2- 1 1 7- -4 -5 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-50,818] |
[a1,a2,a3,a4,a6] |
j |
-117649/2414 |
j-invariant |
L |
1.4580784236113 |
L(r)(E,1)/r! |
Ω |
1.4580781574703 |
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 |
2414d1 |
Quadratic twists by: -7 |