Atkin-Lehner |
2- 5+ 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
47150m |
Isogeny class |
Conductor |
47150 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
479520 |
Modular degree for the optimal curve |
Δ |
-2848375703125000 = -1 · 23 · 510 · 232 · 413 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 0 1 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-267513,53206031] |
[a1,a2,a3,a4,a6] |
j |
-216799584465625/291673672 |
j-invariant |
L |
8.1300413467552 |
L(r)(E,1)/r! |
Ω |
0.4516689637328 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47150e1 |
Quadratic twists by: 5 |