Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
89298ct |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
169344 |
Modular degree for the optimal curve |
Δ |
-4049631438336 = -1 · 29 · 313 · 112 · 41 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- 1 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1706,-100119] |
[a1,a2,a3,a4,a6] |
Generators |
[161:1863:1] |
Generators of the group modulo torsion |
j |
-6221702113/45909504 |
j-invariant |
L |
8.3289592826541 |
L(r)(E,1)/r! |
Ω |
0.32869213968882 |
Real period |
R |
0.70388047696499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000645 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29766f1 89298v1 |
Quadratic twists by: -3 -11 |