Atkin-Lehner |
2+ 3- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112710bl |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
294839107940666250 = 2 · 32 · 54 · 13 · 1710 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 4 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-404173,-95421322] |
[a1,a2,a3,a4,a6] |
Generators |
[-312:733:1] |
Generators of the group modulo torsion |
j |
302503589987689/12214946250 |
j-invariant |
L |
8.8672711687883 |
L(r)(E,1)/r! |
Ω |
0.18981827924403 |
Real period |
R |
5.839315907356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999873867 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6630c3 |
Quadratic twists by: 17 |