Atkin-Lehner |
2+ 3+ 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
119130a |
Isogeny class |
Conductor |
119130 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
10503915468750000 = 24 · 34 · 510 · 112 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11+ -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-185048,-30316848] |
[a1,a2,a3,a4,a6] |
Generators |
[-268:476:1] |
Generators of the group modulo torsion |
j |
102169145969851771/1531406250000 |
j-invariant |
L |
3.6364459432967 |
L(r)(E,1)/r! |
Ω |
0.23039470105081 |
Real period |
R |
1.9729435488672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000083174 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119130bl2 |
Quadratic twists by: -19 |