Atkin-Lehner |
2- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
50b |
Isogeny class |
Conductor |
50 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-78125000 = -1 · 23 · 510 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 -3 4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3138,-68969] |
[a1,a2,a3,a4,a6] |
j |
-349938025/8 |
j-invariant |
L |
0.95681122658763 |
L(r)(E,1)/r! |
Ω |
0.31893707552921 |
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 |
400b4 1600c4 450d4 50a2 |
Quadratic twists by: -4 8 -3 5 |