Atkin-Lehner |
3- 11- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72369j |
Isogeny class |
Conductor |
72369 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
131040 |
Modular degree for the optimal curve |
Δ |
-22295067589377 = -1 · 36 · 113 · 172 · 433 |
Discriminant |
Eigenvalues |
1 3- 2 -2 11- 4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1536,-227971] |
[a1,a2,a3,a4,a6] |
Generators |
[8980:16641:125] |
Generators of the group modulo torsion |
j |
-549957165057/30583083113 |
j-invariant |
L |
8.8526995515696 |
L(r)(E,1)/r! |
Ω |
0.29774692345909 |
Real period |
R |
4.9553826059535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984835 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8041a1 |
Quadratic twists by: -3 |