Atkin-Lehner |
2- 3+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
45024g |
Isogeny class |
Conductor |
45024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
795648 |
Modular degree for the optimal curve |
Δ |
-620402662936099008 = -1 · 26 · 37 · 72 · 676 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ 0 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,42630,37730196] |
[a1,a2,a3,a4,a6] |
j |
133868854905367616/9693791608376547 |
j-invariant |
L |
0.44128698219548 |
L(r)(E,1)/r! |
Ω |
0.22064349107414 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45024n1 90048bw2 |
Quadratic twists by: -4 8 |