Atkin-Lehner |
2+ 3- 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
50778m |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-423549479192112 = -1 · 24 · 39 · 72 · 134 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- -2 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,13860,762048] |
[a1,a2,a3,a4,a6] |
j |
403894788010559/581000657328 |
j-invariant |
L |
2.8744198027605 |
L(r)(E,1)/r! |
Ω |
0.35930247533633 |
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 |
16926bk2 |
Quadratic twists by: -3 |