Atkin-Lehner |
3- 5+ 29- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
128325u |
Isogeny class |
Conductor |
128325 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
7408128 |
Modular degree for the optimal curve |
Δ |
9.6568253096924E+19 |
Discriminant |
Eigenvalues |
2 3- 5+ 4 -1 -5 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1373158,-400513031] |
[a1,a2,a3,a4,a6] |
Generators |
[-3446:84371:8] |
Generators of the group modulo torsion |
j |
18325909465092665344/6180368198203125 |
j-invariant |
L |
20.918312864523 |
L(r)(E,1)/r! |
Ω |
0.14326543975258 |
Real period |
R |
1.4039507598497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034628 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25665b1 |
Quadratic twists by: 5 |