Atkin-Lehner |
2- 5- 29- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
109040s |
Isogeny class |
Conductor |
109040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
809512960 = 212 · 5 · 292 · 47 |
Discriminant |
Eigenvalues |
2- -1 5- -5 -5 -1 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5280,149440] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:542:1] [37:58:1] |
Generators of the group modulo torsion |
j |
3975097468321/197635 |
j-invariant |
L |
7.6869202557792 |
L(r)(E,1)/r! |
Ω |
1.498995945396 |
Real period |
R |
1.2820115157238 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996036 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6815c1 |
Quadratic twists by: -4 |