Atkin-Lehner |
2- 11- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
128986w |
Isogeny class |
Conductor |
128986 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-1045646051260096 = -1 · 26 · 119 · 132 · 41 |
Discriminant |
Eigenvalues |
2- 0 1 -3 11- 13- -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,14618,-1402827] |
[a1,a2,a3,a4,a6] |
Generators |
[663:-17635:1] [1014:12073:8] |
Generators of the group modulo torsion |
j |
195011097399/590239936 |
j-invariant |
L |
17.009428178227 |
L(r)(E,1)/r! |
Ω |
0.25196515370103 |
Real period |
R |
1.406397202358 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999940615 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11726f1 |
Quadratic twists by: -11 |