Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
27048w |
Isogeny class |
Conductor |
27048 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11904 |
Modular degree for the optimal curve |
Δ |
-159258624 = -1 · 211 · 3 · 72 · 232 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -3 -6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-464,3744] |
[a1,a2,a3,a4,a6] |
Generators |
[90:69:8] |
Generators of the group modulo torsion |
j |
-110328386/1587 |
j-invariant |
L |
7.5645862413126 |
L(r)(E,1)/r! |
Ω |
1.8251730174827 |
Real period |
R |
2.0722929193162 |
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 |
54096h1 81144r1 27048n1 |
Quadratic twists by: -4 -3 -7 |