Atkin-Lehner |
2- 3- 5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
45990cj |
Isogeny class |
Conductor |
45990 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-35928228237300 = -1 · 22 · 315 · 52 · 73 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 6 -7 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16412,-854989] |
[a1,a2,a3,a4,a6] |
j |
-670588189536889/49284263700 |
j-invariant |
L |
5.0403505605148 |
L(r)(E,1)/r! |
Ω |
0.21001460670107 |
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 |
15330i1 |
Quadratic twists by: -3 |