Atkin-Lehner |
2- 3+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
111552cq |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
-38262336 = -1 · 26 · 3 · 74 · 83 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- -3 6 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12,-294] |
[a1,a2,a3,a4,a6] |
Generators |
[11:28:1] |
Generators of the group modulo torsion |
j |
-3241792/597849 |
j-invariant |
L |
4.6516870448515 |
L(r)(E,1)/r! |
Ω |
0.9132434369715 |
Real period |
R |
1.2733973514508 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998911666 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111552df1 55776k1 |
Quadratic twists by: -4 8 |