Atkin-Lehner |
2- 3+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
109956m |
Isogeny class |
Conductor |
109956 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3250368 |
Modular degree for the optimal curve |
Δ |
7435879959239424 = 28 · 39 · 72 · 116 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 11+ 5 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10777580,13622115144] |
[a1,a2,a3,a4,a6] |
j |
11037010933211108422864/592783797771 |
j-invariant |
L |
2.5087857623039 |
L(r)(E,1)/r! |
Ω |
0.31359823190275 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109956v1 |
Quadratic twists by: -7 |