Atkin-Lehner |
2+ 5- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
34840f |
Isogeny class |
Conductor |
34840 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
111488000 = 210 · 53 · 13 · 67 |
Discriminant |
Eigenvalues |
2+ -2 5- -3 2 13+ -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-120,-32] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:20:1] [-4:20:1] |
Generators of the group modulo torsion |
j |
188183524/108875 |
j-invariant |
L |
6.3408375472619 |
L(r)(E,1)/r! |
Ω |
1.5866927740002 |
Real period |
R |
0.66604340499542 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69680i1 |
Quadratic twists by: -4 |