Atkin-Lehner |
2- 3+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
90024p |
Isogeny class |
Conductor |
90024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1537536 |
Modular degree for the optimal curve |
Δ |
5074652331835941888 = 210 · 37 · 119 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11+ -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1080328,418746748] |
[a1,a2,a3,a4,a6] |
j |
57750651500/2101707 |
j-invariant |
L |
0.48156097738046 |
L(r)(E,1)/r! |
Ω |
0.24078051797089 |
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 |
90024a1 |
Quadratic twists by: -11 |