Atkin-Lehner |
2+ 7- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
57904f |
Isogeny class |
Conductor |
57904 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
13824 |
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 |
[13:56:1] |
Generators of the group modulo torsion |
j |
139863132/177331 |
j-invariant |
L |
7.5937654020249 |
L(r)(E,1)/r! |
Ω |
0.96275480716894 |
Real period |
R |
0.6572948571954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000154 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28952c1 |
Quadratic twists by: -4 |