Atkin-Lehner |
2- 3- 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
30360bb |
Isogeny class |
Conductor |
30360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
18469506000 = 24 · 3 · 53 · 11 · 234 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1551,22074] |
[a1,a2,a3,a4,a6] |
Generators |
[849:1981:27] |
Generators of the group modulo torsion |
j |
25805905475584/1154344125 |
j-invariant |
L |
6.3591379650709 |
L(r)(E,1)/r! |
Ω |
1.2117086567958 |
Real period |
R |
5.248075046263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60720f1 91080x1 |
Quadratic twists by: -4 -3 |