Atkin-Lehner |
3- 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
885d |
Isogeny class |
Conductor |
885 |
Conductor |
∏ cp |
25 |
Product of Tamagawa factors cp |
deg |
400 |
Modular degree for the optimal curve |
Δ |
44803125 = 35 · 55 · 59 |
Discriminant |
Eigenvalues |
-2 3- 5- -2 -3 -1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-280,1684] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:22:1] |
Generators of the group modulo torsion |
j |
2436396322816/44803125 |
j-invariant |
L |
1.5083772547748 |
L(r)(E,1)/r! |
Ω |
2.0244640686484 |
Real period |
R |
0.74507484629344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
14160t1 56640e1 2655g1 4425c1 |
Quadratic twists by: -4 8 -3 5 |