Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520bm |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
1.7396381906601E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -6 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1629228,-774862288] |
[a1,a2,a3,a4,a6] |
Generators |
[-45788:317115:64] |
Generators of the group modulo torsion |
j |
2502660030961609/91031454720 |
j-invariant |
L |
6.9295743154598 |
L(r)(E,1)/r! |
Ω |
0.13392896661782 |
Real period |
R |
4.3117224072117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990918 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520fi1 2610m1 27840w1 |
Quadratic twists by: -4 8 -3 |