Atkin-Lehner |
2- 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
64220g |
Isogeny class |
Conductor |
64220 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
393120 |
Modular degree for the optimal curve |
Δ |
-10074274404350000 = -1 · 24 · 55 · 139 · 19 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 6 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,49799,2224910] |
[a1,a2,a3,a4,a6] |
j |
80494592/59375 |
j-invariant |
L |
2.0781774916847 |
L(r)(E,1)/r! |
Ω |
0.25977218560537 |
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 |
64220p1 |
Quadratic twists by: 13 |