Atkin-Lehner |
2- 5- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
30550x |
Isogeny class |
Conductor |
30550 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
470400 |
Modular degree for the optimal curve |
Δ |
-872538550000000 = -1 · 27 · 58 · 135 · 47 |
Discriminant |
Eigenvalues |
2- -2 5- -2 0 13+ 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2745388,-1751098608] |
[a1,a2,a3,a4,a6] |
j |
-5858344145612254945/2233698688 |
j-invariant |
L |
1.642013210505 |
L(r)(E,1)/r! |
Ω |
0.058643328946628 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30550f1 |
Quadratic twists by: 5 |