Atkin-Lehner |
2- 11+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
11726h |
Isogeny class |
Conductor |
11726 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
4960 |
Modular degree for the optimal curve |
Δ |
-84614816 = -1 · 25 · 112 · 13 · 412 |
Discriminant |
Eigenvalues |
2- -1 -3 -1 11+ 13+ -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-22,435] |
[a1,a2,a3,a4,a6] |
Generators |
[5:19:1] [11:35:1] |
Generators of the group modulo torsion |
j |
-1180932193/84614816 |
j-invariant |
L |
6.5300041340854 |
L(r)(E,1)/r! |
Ω |
1.5828390221999 |
Real period |
R |
0.20627505521728 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93808bf1 105534u1 128986n1 |
Quadratic twists by: -4 -3 -11 |