Atkin-Lehner |
2+ 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
65520bb |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1376256 |
Modular degree for the optimal curve |
Δ |
904078506240 = 28 · 38 · 5 · 72 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14533167,21324973966] |
[a1,a2,a3,a4,a6] |
Generators |
[4410:207364:1] |
Generators of the group modulo torsion |
j |
1819018058610682173904/4844385 |
j-invariant |
L |
6.5306692660477 |
L(r)(E,1)/r! |
Ω |
0.41299225240679 |
Real period |
R |
7.9065275779715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996356 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32760bm1 21840k1 |
Quadratic twists by: -4 -3 |