Atkin-Lehner |
3- 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47025p |
Isogeny class |
Conductor |
47025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1152000 |
Modular degree for the optimal curve |
Δ |
-5649371795654296875 = -1 · 311 · 516 · 11 · 19 |
Discriminant |
Eigenvalues |
-2 3- 5+ 2 11+ 1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,398175,61032406] |
[a1,a2,a3,a4,a6] |
j |
612911999504384/495966796875 |
j-invariant |
L |
0.62027444838036 |
L(r)(E,1)/r! |
Ω |
0.15506861202981 |
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 |
15675i1 9405g1 |
Quadratic twists by: -3 5 |