Atkin-Lehner |
2- 3- 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
108360bf |
Isogeny class |
Conductor |
108360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
10144992614400 = 211 · 37 · 52 · 72 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -4 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-55803,-5071498] |
[a1,a2,a3,a4,a6] |
Generators |
[382:5418:1] |
Generators of the group modulo torsion |
j |
12871787871602/6795075 |
j-invariant |
L |
5.029470368916 |
L(r)(E,1)/r! |
Ω |
0.31063395657955 |
Real period |
R |
2.023873378053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017081 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36120g2 |
Quadratic twists by: -3 |