Atkin-Lehner |
2+ 3+ 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
84162a |
Isogeny class |
Conductor |
84162 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
580320 |
Modular degree for the optimal curve |
Δ |
22243743376819848 = 23 · 35 · 1310 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -1 0 13+ -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-157680,22941144] |
[a1,a2,a3,a4,a6] |
j |
3145026625/161352 |
j-invariant |
L |
0.37633630393265 |
L(r)(E,1)/r! |
Ω |
0.3763363166086 |
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 |
84162i1 |
Quadratic twists by: 13 |