Atkin-Lehner |
2- 3- 5+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
124080br |
Isogeny class |
Conductor |
124080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1141520117760 = 212 · 34 · 5 · 114 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20416,-1128460] |
[a1,a2,a3,a4,a6] |
Generators |
[-2220:890:27] |
Generators of the group modulo torsion |
j |
229771948621249/278691435 |
j-invariant |
L |
7.9805162314859 |
L(r)(E,1)/r! |
Ω |
0.39942638291225 |
Real period |
R |
4.9949856505407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003397 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7755c4 |
Quadratic twists by: -4 |