Atkin-Lehner |
2+ 3+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47190b |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-18809991807750000 = -1 · 24 · 33 · 56 · 118 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11- 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-220948,40423552] |
[a1,a2,a3,a4,a6] |
j |
-673350049820449/10617750000 |
j-invariant |
L |
1.5502892153252 |
L(r)(E,1)/r! |
Ω |
0.38757230393219 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4290r1 |
Quadratic twists by: -11 |