Atkin-Lehner |
2+ 5+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
30550g |
Isogeny class |
Conductor |
30550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1656000 |
Modular degree for the optimal curve |
Δ |
-1.2232982528E+20 |
Discriminant |
Eigenvalues |
2+ 3 5+ 2 -3 13- 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1201133,162319541] |
[a1,a2,a3,a4,a6] |
j |
19624416938830575/12526574108672 |
j-invariant |
L |
4.1697745405035 |
L(r)(E,1)/r! |
Ω |
0.11582707056952 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30550y1 |
Quadratic twists by: 5 |