Atkin-Lehner |
2- 13+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
28652b |
Isogeny class |
Conductor |
28652 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
571032 |
Modular degree for the optimal curve |
Δ |
-184335766212246272 = -1 · 28 · 133 · 19 · 297 |
Discriminant |
Eigenvalues |
2- -3 0 0 3 13+ 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-616600,187501636] |
[a1,a2,a3,a4,a6] |
j |
-101273147551872000000/720061586766587 |
j-invariant |
L |
0.96430241087371 |
L(r)(E,1)/r! |
Ω |
0.32143413695741 |
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 |
114608h1 |
Quadratic twists by: -4 |