Atkin-Lehner |
3+ 5+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
109725z |
Isogeny class |
Conductor |
109725 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
11404800 |
Modular degree for the optimal curve |
Δ |
-3.7455374632142E+21 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7- 11- 5 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,1591842,2840709593] |
[a1,a2,a3,a4,a6] |
j |
28549814500156461056/239714397645705675 |
j-invariant |
L |
6.1371558731549 |
L(r)(E,1)/r! |
Ω |
0.10228593356158 |
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 |
21945w1 |
Quadratic twists by: 5 |