Atkin-Lehner |
11- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
109021g |
Isogeny class |
Conductor |
109021 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-55816694664709 = -1 · 118 · 173 · 53 |
Discriminant |
Eigenvalues |
1 -2 3 -3 11- -1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14402,754917] |
[a1,a2,a3,a4,a6] |
Generators |
[630:2343:8] |
Generators of the group modulo torsion |
j |
-186463002097/31507069 |
j-invariant |
L |
5.7164964436191 |
L(r)(E,1)/r! |
Ω |
0.60477620564513 |
Real period |
R |
2.3630627241067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020418 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9911d1 |
Quadratic twists by: -11 |