Atkin-Lehner |
2- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
28400m |
Isogeny class |
Conductor |
28400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-22720000000000 = -1 · 215 · 510 · 71 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 -4 -5 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4792,188912] |
[a1,a2,a3,a4,a6] |
j |
304175/568 |
j-invariant |
L |
0.93167751593764 |
L(r)(E,1)/r! |
Ω |
0.46583875796946 |
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 |
3550e1 113600cd1 28400z1 |
Quadratic twists by: -4 8 5 |