Atkin-Lehner |
5+ 13+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
104975c |
Isogeny class |
Conductor |
104975 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
756891934169921875 = 510 · 132 · 176 · 19 |
Discriminant |
Eigenvalues |
-1 0 5+ -2 2 13+ 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-492105,-125983978] |
[a1,a2,a3,a4,a6] |
Generators |
[-476:725:1] [-405:2803:1] |
Generators of the group modulo torsion |
j |
843482723742615321/48441083786875 |
j-invariant |
L |
6.7589953419769 |
L(r)(E,1)/r! |
Ω |
0.18090028436825 |
Real period |
R |
3.1135916331625 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997459 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20995c2 |
Quadratic twists by: 5 |