Atkin-Lehner |
2- 3- 5- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
108360bp |
Isogeny class |
Conductor |
108360 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
-7549776691228800000 = -1 · 210 · 312 · 55 · 74 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 -2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,429333,75843574] |
[a1,a2,a3,a4,a6] |
Generators |
[-117:4900:1] [-37:7740:1] |
Generators of the group modulo torsion |
j |
11724087216306524/10113619753125 |
j-invariant |
L |
12.067891609802 |
L(r)(E,1)/r! |
Ω |
0.15242959927999 |
Real period |
R |
1.9792565989441 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998582 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36120k2 |
Quadratic twists by: -3 |