Atkin-Lehner |
2- 7- 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
111622m |
Isogeny class |
Conductor |
111622 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
6088447273722464 = 25 · 76 · 176 · 67 |
Discriminant |
Eigenvalues |
2- -2 -2 7- 2 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-565314,163509604] |
[a1,a2,a3,a4,a6] |
Generators |
[-654:16252:1] [-66:14194:1] |
Generators of the group modulo torsion |
j |
169826219834508433/51750947936 |
j-invariant |
L |
10.833276216799 |
L(r)(E,1)/r! |
Ω |
0.41576808625513 |
Real period |
R |
0.86853517420061 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2278b2 |
Quadratic twists by: -7 |