Atkin-Lehner |
2- 3+ 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47190bv |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
77591216206968750 = 2 · 34 · 56 · 119 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11+ 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-153370,18773657] |
[a1,a2,a3,a4,a6] |
Generators |
[2926:25983:8] |
Generators of the group modulo torsion |
j |
169204136291/32906250 |
j-invariant |
L |
8.1727436688164 |
L(r)(E,1)/r! |
Ω |
0.3260476739615 |
Real period |
R |
4.1776833683689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999884 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47190i2 |
Quadratic twists by: -11 |