Atkin-Lehner |
2- 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
102080bb |
Isogeny class |
Conductor |
102080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
31744 |
Modular degree for the optimal curve |
Δ |
-679342400 = -1 · 26 · 52 · 114 · 29 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 11+ -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-163,1488] |
[a1,a2,a3,a4,a6] |
Generators |
[4:30:1] |
Generators of the group modulo torsion |
j |
-7483530816/10614725 |
j-invariant |
L |
2.8810445129606 |
L(r)(E,1)/r! |
Ω |
1.4518438422536 |
Real period |
R |
1.9844038497914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010748 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102080bh1 51040f2 |
Quadratic twists by: -4 8 |