Atkin-Lehner |
2+ 3- 7+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
22134l |
Isogeny class |
Conductor |
22134 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
11532190278 = 2 · 3 · 76 · 17 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 0 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-766,6242] |
[a1,a2,a3,a4,a6] |
Generators |
[42:199:1] |
Generators of the group modulo torsion |
j |
49612916193625/11532190278 |
j-invariant |
L |
4.6271800579696 |
L(r)(E,1)/r! |
Ω |
1.198583497728 |
Real period |
R |
3.8605404352225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66402bf2 |
Quadratic twists by: -3 |