Atkin-Lehner |
2+ 3+ 5+ 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810a |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
657450427913072640 = 212 · 33 · 5 · 76 · 112 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-259530,-32613644] |
[a1,a2,a3,a4,a6] |
Generators |
[2180:97694:1] |
Generators of the group modulo torsion |
j |
71601742175656462587/24350015848632320 |
j-invariant |
L |
3.9252418319224 |
L(r)(E,1)/r! |
Ω |
0.21735113026932 |
Real period |
R |
2.2574311851421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000191467 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810cs2 |
Quadratic twists by: -3 |