Atkin-Lehner |
2+ 3- 7- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
109746k |
Isogeny class |
Conductor |
109746 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
59392 |
Modular degree for the optimal curve |
Δ |
640038672 = 24 · 38 · 7 · 13 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 13- 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1107,-13851] |
[a1,a2,a3,a4,a6] |
Generators |
[46:153:1] |
Generators of the group modulo torsion |
j |
205901592625/877968 |
j-invariant |
L |
5.7625582136071 |
L(r)(E,1)/r! |
Ω |
0.82785766205163 |
Real period |
R |
3.4804040092569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999330333 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36582n1 |
Quadratic twists by: -3 |