Atkin-Lehner |
2+ 5+ 13- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
47450h |
Isogeny class |
Conductor |
47450 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
52200 |
Modular degree for the optimal curve |
Δ |
-296562500000 = -1 · 25 · 510 · 13 · 73 |
Discriminant |
Eigenvalues |
2+ -1 5+ -4 -3 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,300,-26000] |
[a1,a2,a3,a4,a6] |
j |
304175/30368 |
j-invariant |
L |
0.46118081598345 |
L(r)(E,1)/r! |
Ω |
0.46118081583137 |
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 |
47450ba1 |
Quadratic twists by: 5 |