Atkin-Lehner |
2- 3- 29- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
85608r |
Isogeny class |
Conductor |
85608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
-906545348076528 = -1 · 24 · 319 · 29 · 412 |
Discriminant |
Eigenvalues |
2- 3- -2 1 3 -5 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-236271,44227951] |
[a1,a2,a3,a4,a6] |
Generators |
[-387:8815:1] [5:6561:1] |
Generators of the group modulo torsion |
j |
-125056842563607808/77721651927 |
j-invariant |
L |
10.388283856075 |
L(r)(E,1)/r! |
Ω |
0.49252918094292 |
Real period |
R |
1.318232027902 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000145 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28536f1 |
Quadratic twists by: -3 |