Atkin-Lehner |
2+ 5+ 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
63550d |
Isogeny class |
Conductor |
63550 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
842400 |
Modular degree for the optimal curve |
Δ |
683696320000000000 = 215 · 510 · 31 · 413 |
Discriminant |
Eigenvalues |
2+ 1 5+ 3 -1 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-269076,-36126702] |
[a1,a2,a3,a4,a6] |
j |
220620689490625/70010503168 |
j-invariant |
L |
2.5783834362675 |
L(r)(E,1)/r! |
Ω |
0.21486528649437 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63550bb1 |
Quadratic twists by: 5 |