Atkin-Lehner |
2- 3- 7- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
27258bl |
Isogeny class |
Conductor |
27258 |
Conductor |
∏ cp |
440 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
146566557333504 = 211 · 38 · 75 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11+ -1 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13187,20289] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:-575:1] |
Generators of the group modulo torsion |
j |
253608490463558833/146566557333504 |
j-invariant |
L |
8.0764030861799 |
L(r)(E,1)/r! |
Ω |
0.49178360419434 |
Real period |
R |
0.037324264987586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81774z1 |
Quadratic twists by: -3 |