Atkin-Lehner |
2+ 3+ 5+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810h |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
32899907349540 = 22 · 33 · 5 · 7 · 116 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8085,48321] |
[a1,a2,a3,a4,a6] |
j |
2164862091435147/1218515087020 |
j-invariant |
L |
1.1325751116606 |
L(r)(E,1)/r! |
Ω |
0.56628783920816 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
117810cu3 |
Quadratic twists by: -3 |