Atkin-Lehner |
2- 3- 5- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
120780bb |
Isogeny class |
Conductor |
120780 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5276136047482080000 = 28 · 39 · 54 · 112 · 614 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- 6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-687207,-189383506] |
[a1,a2,a3,a4,a6] |
Generators |
[22034:1097235:8] |
Generators of the group modulo torsion |
j |
192317560930168144/28271476591875 |
j-invariant |
L |
9.5883142936531 |
L(r)(E,1)/r! |
Ω |
0.16744597203752 |
Real period |
R |
7.1577671529372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000068124 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40260b2 |
Quadratic twists by: -3 |