Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
109368bp |
Isogeny class |
Conductor |
109368 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
160734212352 = 28 · 310 · 73 · 31 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -2 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-52815,-4671758] |
[a1,a2,a3,a4,a6] |
j |
254527054000/2511 |
j-invariant |
L |
2.5194195825449 |
L(r)(E,1)/r! |
Ω |
0.31492743118215 |
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 |
36456l1 109368bv1 |
Quadratic twists by: -3 -7 |