Atkin-Lehner |
2- 3+ 19+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
45828a |
Isogeny class |
Conductor |
45828 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
-3176430336 = -1 · 28 · 33 · 193 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 1 2 1 -3 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1152,-15292] |
[a1,a2,a3,a4,a6] |
j |
-24461180928/459553 |
j-invariant |
L |
2.4556918177009 |
L(r)(E,1)/r! |
Ω |
0.40928196965722 |
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 |
45828b1 |
Quadratic twists by: -3 |