Atkin-Lehner |
3+ 29- 43- |
Signs for the Atkin-Lehner involutions |
Class |
108489d |
Isogeny class |
Conductor |
108489 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18144 |
Modular degree for the optimal curve |
Δ |
28315629 = 33 · 293 · 43 |
Discriminant |
Eigenvalues |
0 3+ -3 0 3 -2 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-77,80] |
[a1,a2,a3,a4,a6] |
Generators |
[10:14:1] |
Generators of the group modulo torsion |
j |
2097152/1161 |
j-invariant |
L |
3.1927989946366 |
L(r)(E,1)/r! |
Ω |
1.8231953140454 |
Real period |
R |
0.87560531459447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999423482 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108489l1 |
Quadratic twists by: 29 |