Atkin-Lehner |
2- 7+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
28952c |
Isogeny class |
Conductor |
28952 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-181586944 = -1 · 210 · 73 · 11 · 47 |
Discriminant |
Eigenvalues |
2- 0 3 7+ 11+ -4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,109,478] |
[a1,a2,a3,a4,a6] |
Generators |
[27:152:1] |
Generators of the group modulo torsion |
j |
139863132/177331 |
j-invariant |
L |
6.0122492764533 |
L(r)(E,1)/r! |
Ω |
1.2087349850984 |
Real period |
R |
2.4870006041745 |
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 |
57904f1 |
Quadratic twists by: -4 |