Atkin-Lehner |
3+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
122793a |
Isogeny class |
Conductor |
122793 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
20366364627523827 = 33 · 114 · 616 |
Discriminant |
Eigenvalues |
-1 3+ -2 -4 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-545204,154568882] |
[a1,a2,a3,a4,a6] |
Generators |
[574:5294:1] |
Generators of the group modulo torsion |
j |
347873904937/395307 |
j-invariant |
L |
1.4025976473575 |
L(r)(E,1)/r! |
Ω |
0.38274789091476 |
Real period |
R |
1.8322734473529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000372527 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33a3 |
Quadratic twists by: 61 |