Atkin-Lehner |
2- 3- 5+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
28140j |
Isogeny class |
Conductor |
28140 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
15317164800 = 28 · 36 · 52 · 72 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 4 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8996,325380] |
[a1,a2,a3,a4,a6] |
Generators |
[52:30:1] |
Generators of the group modulo torsion |
j |
314543244794704/59832675 |
j-invariant |
L |
5.655147122306 |
L(r)(E,1)/r! |
Ω |
1.2073611452939 |
Real period |
R |
0.26021612617957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112560bo2 84420t2 |
Quadratic twists by: -4 -3 |