Atkin-Lehner |
2+ 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
108192h |
Isogeny class |
Conductor |
108192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4876180549632 = 212 · 38 · 73 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18993,1008225] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:1288:1] |
Generators of the group modulo torsion |
j |
539353144000/3470769 |
j-invariant |
L |
5.5557978842142 |
L(r)(E,1)/r! |
Ω |
0.77369042044361 |
Real period |
R |
1.7952264020811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008899 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108192q2 108192v2 |
Quadratic twists by: -4 -7 |