Atkin-Lehner |
2- 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
54900n |
Isogeny class |
Conductor |
54900 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-4322386800 = -1 · 24 · 311 · 52 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 1 -1 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1425,20945] |
[a1,a2,a3,a4,a6] |
Generators |
[31:81:1] |
Generators of the group modulo torsion |
j |
-1097440000/14823 |
j-invariant |
L |
5.4479424746236 |
L(r)(E,1)/r! |
Ω |
1.3867490342424 |
Real period |
R |
0.3273809427667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000167 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18300c1 54900w1 |
Quadratic twists by: -3 5 |