Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
65520dz |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
181259245372907520 = 213 · 310 · 5 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-164667,-15553046] |
[a1,a2,a3,a4,a6] |
Generators |
[-265:3078:1] |
Generators of the group modulo torsion |
j |
165369706597369/60703354530 |
j-invariant |
L |
6.1427475805021 |
L(r)(E,1)/r! |
Ω |
0.24430208594489 |
Real period |
R |
3.1430081513948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000459 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8190by4 21840bu3 |
Quadratic twists by: -4 -3 |