Atkin-Lehner |
3- 7- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
44289h |
Isogeny class |
Conductor |
44289 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
76471681968801 = 316 · 7 · 193 · 37 |
Discriminant |
Eigenvalues |
1 3- 2 7- 0 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-332361,73832152] |
[a1,a2,a3,a4,a6] |
j |
5569639549110611857/104899426569 |
j-invariant |
L |
2.2516167046894 |
L(r)(E,1)/r! |
Ω |
0.56290417622483 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14763d1 |
Quadratic twists by: -3 |