Atkin-Lehner |
2- 5+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
34450n |
Isogeny class |
Conductor |
34450 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
-564428800 = -1 · 215 · 52 · 13 · 53 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 -2 13+ -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-55,1167] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-34:1] |
Generators of the group modulo torsion |
j |
-723515625/22577152 |
j-invariant |
L |
6.2216252990611 |
L(r)(E,1)/r! |
Ω |
1.3672105897409 |
Real period |
R |
0.30337317678033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34450k1 |
Quadratic twists by: 5 |