Atkin-Lehner |
2- 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
51120bb |
Isogeny class |
Conductor |
51120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
76321751040 = 215 · 38 · 5 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19630083,33475827202] |
[a1,a2,a3,a4,a6] |
Generators |
[946001:6087906:343] |
Generators of the group modulo torsion |
j |
280157751714584954881/25560 |
j-invariant |
L |
6.8198665602068 |
L(r)(E,1)/r! |
Ω |
0.42160419299884 |
Real period |
R |
8.0879966013463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000045 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6390j3 17040bc3 |
Quadratic twists by: -4 -3 |