Atkin-Lehner |
2- 3+ 11- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
35178p |
Isogeny class |
Conductor |
35178 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
2851180839936 = 210 · 34 · 112 · 132 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 11- 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4362,-77289] |
[a1,a2,a3,a4,a6] |
j |
9178821379465633/2851180839936 |
j-invariant |
L |
6.0173925018898 |
L(r)(E,1)/r! |
Ω |
0.60173925018943 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
105534g2 |
Quadratic twists by: -3 |