Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
65520dz |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1090457767526400 = 214 · 38 · 52 · 74 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-71067,7116874] |
[a1,a2,a3,a4,a6] |
Generators |
[-217:3510:1] |
Generators of the group modulo torsion |
j |
13293525831769/365192100 |
j-invariant |
L |
6.1427475805021 |
L(r)(E,1)/r! |
Ω |
0.48860417188977 |
Real period |
R |
1.5715040756974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000459 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8190by2 21840bu2 |
Quadratic twists by: -4 -3 |