Atkin-Lehner |
2+ 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
65520bd |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
4696209721476000000 = 28 · 310 · 56 · 76 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-528447,104841214] |
[a1,a2,a3,a4,a6] |
Generators |
[-187:14040:1] |
Generators of the group modulo torsion |
j |
87450143958975184/25164018140625 |
j-invariant |
L |
6.4192377497733 |
L(r)(E,1)/r! |
Ω |
0.22705695554633 |
Real period |
R |
2.3559572435876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000401 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
32760bp2 21840l2 |
Quadratic twists by: -4 -3 |