Atkin-Lehner |
3+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
5499c |
Isogeny class |
Conductor |
5499 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
4465285832709 = 39 · 136 · 47 |
Discriminant |
Eigenvalues |
0 3+ -3 -1 3 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-5994,-146860] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:175:1] |
Generators of the group modulo torsion |
j |
1209992380416/226860023 |
j-invariant |
L |
2.3979576679515 |
L(r)(E,1)/r! |
Ω |
0.54962671015937 |
Real period |
R |
0.36357368004309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87984s2 5499a1 71487a2 |
Quadratic twists by: -4 -3 13 |