Atkin-Lehner |
3- 5+ 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
65835g |
Isogeny class |
Conductor |
65835 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
58658985 = 36 · 5 · 7 · 112 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 11+ 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-158,-628] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:12:1] [-5:6:1] |
Generators of the group modulo torsion |
j |
594823321/80465 |
j-invariant |
L |
6.1959608774612 |
L(r)(E,1)/r! |
Ω |
1.3593241738933 |
Real period |
R |
4.5581186566444 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7315c1 |
Quadratic twists by: -3 |