Atkin-Lehner |
3- 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
45675d |
Isogeny class |
Conductor |
45675 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-57807421875 = -1 · 36 · 58 · 7 · 29 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ 2 -4 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,450,-10969] |
[a1,a2,a3,a4,a6] |
j |
884736/5075 |
j-invariant |
L |
1.1158674254903 |
L(r)(E,1)/r! |
Ω |
0.55793371279217 |
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 |
5075e1 9135j1 |
Quadratic twists by: -3 5 |