Atkin-Lehner |
2+ 5+ 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
45560c |
Isogeny class |
Conductor |
45560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
31744 |
Modular degree for the optimal curve |
Δ |
-182240000 = -1 · 28 · 54 · 17 · 67 |
Discriminant |
Eigenvalues |
2+ 3 5+ 4 -3 4 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28,-652] |
[a1,a2,a3,a4,a6] |
j |
-9483264/711875 |
j-invariant |
L |
6.3493113343241 |
L(r)(E,1)/r! |
Ω |
0.79366391680099 |
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 |
91120f1 |
Quadratic twists by: -4 |