Atkin-Lehner |
2+ 3- 7- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
109746f |
Isogeny class |
Conductor |
109746 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
369408 |
Modular degree for the optimal curve |
Δ |
-7318628868096 = -1 · 213 · 37 · 7 · 13 · 672 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 5 13+ 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13581,-619547] |
[a1,a2,a3,a4,a6] |
Generators |
[2734:45667:8] |
Generators of the group modulo torsion |
j |
-380022594806737/10039271424 |
j-invariant |
L |
3.7084173626371 |
L(r)(E,1)/r! |
Ω |
0.22077910726036 |
Real period |
R |
4.1992394465786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000048227 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36582i1 |
Quadratic twists by: -3 |