Atkin-Lehner |
3+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
122793a |
Isogeny class |
Conductor |
122793 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-301180431978626211 = -1 · 312 · 11 · 616 |
Discriminant |
Eigenvalues |
-1 3+ -2 -4 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,161786,8422886] |
[a1,a2,a3,a4,a6] |
Generators |
[-159015:2898338:3375] |
Generators of the group modulo torsion |
j |
9090072503/5845851 |
j-invariant |
L |
1.4025976473575 |
L(r)(E,1)/r! |
Ω |
0.19137394545738 |
Real period |
R |
7.3290937894116 |
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 |
33a4 |
Quadratic twists by: 61 |