Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360gl |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
695570102599680 = 214 · 38 · 5 · 76 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-921216,340012980] |
[a1,a2,a3,a4,a6] |
Generators |
[564:414:1] |
Generators of the group modulo torsion |
j |
179415687049201/1443420 |
j-invariant |
L |
8.1736389758215 |
L(r)(E,1)/r! |
Ω |
0.45712327226169 |
Real period |
R |
2.2350751629877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972784 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170bj3 2640q3 |
Quadratic twists by: -4 -7 |