Atkin-Lehner |
2- 3+ 5+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
127920be |
Isogeny class |
Conductor |
127920 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4189062758400 = 216 · 32 · 52 · 132 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13176,578160] |
[a1,a2,a3,a4,a6] |
Generators |
[28:480:1] |
Generators of the group modulo torsion |
j |
61765716432889/1022720400 |
j-invariant |
L |
4.8041892355959 |
L(r)(E,1)/r! |
Ω |
0.78063711854663 |
Real period |
R |
1.5385475300485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999858035 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15990i2 |
Quadratic twists by: -4 |