Atkin-Lehner |
3- 5- 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
109725ci |
Isogeny class |
Conductor |
109725 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
985600 |
Modular degree for the optimal curve |
Δ |
-30162948169921875 = -1 · 34 · 59 · 7 · 11 · 195 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 11+ 5 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,7667,8354494] |
[a1,a2,a3,a4,a6] |
Generators |
[1658:67687:1] |
Generators of the group modulo torsion |
j |
25516048384/15443429463 |
j-invariant |
L |
8.3350620471331 |
L(r)(E,1)/r! |
Ω |
0.28966417602063 |
Real period |
R |
0.71937287679116 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999794134 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109725bc1 |
Quadratic twists by: 5 |