Atkin-Lehner |
2+ 3+ 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47850n |
Isogeny class |
Conductor |
47850 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
168000 |
Modular degree for the optimal curve |
Δ |
-39688704000000 = -1 · 215 · 35 · 56 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 11- 1 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14625,739125] |
[a1,a2,a3,a4,a6] |
j |
-22143063655441/2540077056 |
j-invariant |
L |
0.62835180269455 |
L(r)(E,1)/r! |
Ω |
0.62835180315168 |
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 |
1914o1 |
Quadratic twists by: 5 |