Atkin-Lehner |
5- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
45815v |
Isogeny class |
Conductor |
45815 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
220800 |
Modular degree for the optimal curve |
Δ |
-3579296875 = -1 · 58 · 72 · 11 · 17 |
Discriminant |
Eigenvalues |
1 -2 5- 7- 11- -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-446738,-114965469] |
[a1,a2,a3,a4,a6] |
j |
-201226383219526102249/73046875 |
j-invariant |
L |
0.7386631581877 |
L(r)(E,1)/r! |
Ω |
0.092332894776061 |
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 |
45815f1 |
Quadratic twists by: -7 |