Atkin-Lehner |
2- 3- 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
122544bb |
Isogeny class |
Conductor |
122544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
32842248844032 = 28 · 311 · 232 · 372 |
Discriminant |
Eigenvalues |
2- 3- -2 2 0 -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9111,189794] |
[a1,a2,a3,a4,a6] |
Generators |
[2370:6956:27] |
Generators of the group modulo torsion |
j |
448181946448/175980843 |
j-invariant |
L |
6.1043586719493 |
L(r)(E,1)/r! |
Ω |
0.59720236134589 |
Real period |
R |
5.1107958433011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999672314 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30636d2 40848e2 |
Quadratic twists by: -4 -3 |