Atkin-Lehner |
2- 5- 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
27140h |
Isogeny class |
Conductor |
27140 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
175104 |
Modular degree for the optimal curve |
Δ |
-264708293750000 = -1 · 24 · 58 · 233 · 592 |
Discriminant |
Eigenvalues |
2- -3 5- -2 -2 -7 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11843,-605531] |
[a1,a2,a3,a4,a6] |
Generators |
[113:-1475:1] [73:805:1] |
Generators of the group modulo torsion |
j |
11481243223267584/16544268359375 |
j-invariant |
L |
4.9441296191675 |
L(r)(E,1)/r! |
Ω |
0.29271646100744 |
Real period |
R |
0.11729519190097 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108560r1 |
Quadratic twists by: -4 |