Atkin-Lehner |
2- 5- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
113230x |
Isogeny class |
Conductor |
113230 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1707936197093750 = 2 · 56 · 138 · 67 |
Discriminant |
Eigenvalues |
2- 2 5- 0 2 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-126500,-17255633] |
[a1,a2,a3,a4,a6] |
j |
46380496070089/353843750 |
j-invariant |
L |
6.0783801589035 |
L(r)(E,1)/r! |
Ω |
0.25326587114114 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8710a2 |
Quadratic twists by: 13 |