Atkin-Lehner |
2+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
20618d |
Isogeny class |
Conductor |
20618 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
125165033353511476 = 22 · 1310 · 613 |
Discriminant |
Eigenvalues |
2+ 1 3 -2 -6 13+ -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-614657,-184748432] |
[a1,a2,a3,a4,a6] |
j |
186289196353/907924 |
j-invariant |
L |
1.0233402909233 |
L(r)(E,1)/r! |
Ω |
0.17055671515388 |
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 |
20618k2 |
Quadratic twists by: 13 |