Atkin-Lehner |
2- 3- 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
15180l |
Isogeny class |
Conductor |
15180 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
57024 |
Modular degree for the optimal curve |
Δ |
21911115600 = 24 · 39 · 52 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-150921,22516704] |
[a1,a2,a3,a4,a6] |
Generators |
[-315:6237:1] |
Generators of the group modulo torsion |
j |
23760502964664254464/1369444725 |
j-invariant |
L |
6.0704780113486 |
L(r)(E,1)/r! |
Ω |
0.9089049248965 |
Real period |
R |
2.2262973992356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
60720bm1 45540y1 75900f1 |
Quadratic twists by: -4 -3 5 |