Atkin-Lehner |
2+ 3+ 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
116610u |
Isogeny class |
Conductor |
116610 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
38300729415000 = 23 · 3 · 54 · 136 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 2 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-19607,1005789] |
[a1,a2,a3,a4,a6] |
Generators |
[-77:1476:1] |
Generators of the group modulo torsion |
j |
172715635009/7935000 |
j-invariant |
L |
5.2877289516883 |
L(r)(E,1)/r! |
Ω |
0.64090970652421 |
Real period |
R |
2.0625873331364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999664209 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
690h2 |
Quadratic twists by: 13 |