Atkin-Lehner |
2- 3+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
122892q |
Isogeny class |
Conductor |
122892 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
34519871232 = 28 · 32 · 73 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 11- -2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40700,3173976] |
[a1,a2,a3,a4,a6] |
Generators |
[14530:1254:125] [-187:2052:1] |
Generators of the group modulo torsion |
j |
84914826196912/393129 |
j-invariant |
L |
7.5815009040586 |
L(r)(E,1)/r! |
Ω |
1.0266272569332 |
Real period |
R |
0.61540518966302 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003777 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122892bk2 |
Quadratic twists by: -7 |