Atkin-Lehner |
2+ 3- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
45570bl |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
150 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-283777149600000 = -1 · 28 · 35 · 55 · 72 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 2 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-50888,-4496362] |
[a1,a2,a3,a4,a6] |
Generators |
[729:18235:1] |
Generators of the group modulo torsion |
j |
-297414071013624649/5791370400000 |
j-invariant |
L |
6.4483289253518 |
L(r)(E,1)/r! |
Ω |
0.15875063490002 |
Real period |
R |
0.27079488236016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45570a1 |
Quadratic twists by: -7 |