Atkin-Lehner |
2- 5+ 23+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
27140c |
Isogeny class |
Conductor |
27140 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4896 |
Modular degree for the optimal curve |
Δ |
-6405040 = -1 · 24 · 5 · 23 · 592 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 0 0 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,19,124] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:7:1] |
Generators of the group modulo torsion |
j |
44957696/400315 |
j-invariant |
L |
4.107853771125 |
L(r)(E,1)/r! |
Ω |
1.7423316152414 |
Real period |
R |
1.5717841292632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108560h1 |
Quadratic twists by: -4 |