Atkin-Lehner |
2+ 3+ 5- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810k |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
2452872946135827600 = 24 · 39 · 52 · 78 · 11 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11- 0 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-462579,-94679515] |
[a1,a2,a3,a4,a6] |
j |
556148392866186147/124618856177200 |
j-invariant |
L |
2.231980264429 |
L(r)(E,1)/r! |
Ω |
0.18599833855134 |
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 |
117810cf1 |
Quadratic twists by: -3 |