Atkin-Lehner |
2- 3- 7- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22134bd |
Isogeny class |
Conductor |
22134 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
109369804572 = 22 · 32 · 78 · 17 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-101234,12389160] |
[a1,a2,a3,a4,a6] |
Generators |
[11270:407435:8] |
Generators of the group modulo torsion |
j |
114736915877202402337/109369804572 |
j-invariant |
L |
9.0338843977044 |
L(r)(E,1)/r! |
Ω |
0.88480810810321 |
Real period |
R |
5.1049963912913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
66402i4 |
Quadratic twists by: -3 |