Atkin-Lehner |
2- 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
104690u |
Isogeny class |
Conductor |
104690 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
36000 |
Modular degree for the optimal curve |
Δ |
-7956440 = -1 · 23 · 5 · 193 · 29 |
Discriminant |
Eigenvalues |
2- -3 5+ -2 0 -2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,27,117] |
[a1,a2,a3,a4,a6] |
Generators |
[5:16:1] |
Generators of the group modulo torsion |
j |
328509/1160 |
j-invariant |
L |
3.9276029947997 |
L(r)(E,1)/r! |
Ω |
1.6577470037121 |
Real period |
R |
0.39487358436339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999665419 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104690a1 |
Quadratic twists by: -19 |