Atkin-Lehner |
2- 3+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
27612b |
Isogeny class |
Conductor |
27612 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26496 |
Modular degree for the optimal curve |
Δ |
895954176 = 28 · 33 · 133 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 3 2 2 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9216,340532] |
[a1,a2,a3,a4,a6] |
Generators |
[53:31:1] |
Generators of the group modulo torsion |
j |
12524124635136/129623 |
j-invariant |
L |
7.4012870974276 |
L(r)(E,1)/r! |
Ω |
1.4258647054747 |
Real period |
R |
2.5953679437502 |
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 |
110448w1 27612a1 |
Quadratic twists by: -4 -3 |