Atkin-Lehner |
2+ 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
105710c |
Isogeny class |
Conductor |
105710 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
998974214333894480 = 24 · 5 · 114 · 318 |
Discriminant |
Eigenvalues |
2+ 2 5+ -4 11+ 4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-334928,56901488] |
[a1,a2,a3,a4,a6] |
j |
4681768588489/1125600080 |
j-invariant |
L |
1.0435635972182 |
L(r)(E,1)/r! |
Ω |
0.2608910256682 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3410a2 |
Quadratic twists by: -31 |