Atkin-Lehner |
2+ 3+ 5- 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810j |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
72142131600 = 24 · 39 · 52 · 72 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11+ 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5334,-148060] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:30:1] |
Generators of the group modulo torsion |
j |
852780481587/3665200 |
j-invariant |
L |
5.4466540832508 |
L(r)(E,1)/r! |
Ω |
0.55878505942655 |
Real period |
R |
2.4368287662755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000101619 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810ci1 |
Quadratic twists by: -3 |