Atkin-Lehner |
5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
6845b |
Isogeny class |
Conductor |
6845 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
74592 |
Modular degree for the optimal curve |
Δ |
2030652184298078125 = 56 · 379 |
Discriminant |
Eigenvalues |
0 -1 5+ 1 3 0 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-472761,104815596] |
[a1,a2,a3,a4,a6] |
j |
89915392/15625 |
j-invariant |
L |
0.99824923077173 |
L(r)(E,1)/r! |
Ω |
0.24956230769293 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109520q1 61605m1 34225i1 6845e1 |
Quadratic twists by: -4 -3 5 37 |