Atkin-Lehner |
2+ 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
45450s |
Isogeny class |
Conductor |
45450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-116483378906250 = -1 · 2 · 310 · 510 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 -4 0 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1692,-519534] |
[a1,a2,a3,a4,a6] |
j |
-47045881/10226250 |
j-invariant |
L |
1.0544648039735 |
L(r)(E,1)/r! |
Ω |
0.26361620100774 |
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 |
15150bn1 9090t1 |
Quadratic twists by: -3 5 |