Atkin-Lehner |
2- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
18880r |
Isogeny class |
Conductor |
18880 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-67298590720000 = -1 · 219 · 54 · 593 |
Discriminant |
Eigenvalues |
2- -2 5- -5 -3 1 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,10015,-80225] |
[a1,a2,a3,a4,a6] |
Generators |
[55:800:1] [85:1180:1] |
Generators of the group modulo torsion |
j |
423733973831/256723750 |
j-invariant |
L |
5.0327540179221 |
L(r)(E,1)/r! |
Ω |
0.3590793583268 |
Real period |
R |
0.29199406651681 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999954 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18880e1 4720b1 94400cw1 |
Quadratic twists by: -4 8 5 |