Atkin-Lehner |
2+ 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
28054c |
Isogeny class |
Conductor |
28054 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
128544 |
Modular degree for the optimal curve |
Δ |
-22478275747876 = -1 · 22 · 138 · 832 |
Discriminant |
Eigenvalues |
2+ 2 -3 -2 -2 13+ -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-30254,2025704] |
[a1,a2,a3,a4,a6] |
Generators |
[876:27616:27] [70:472:1] |
Generators of the group modulo torsion |
j |
-3754462153/27556 |
j-invariant |
L |
6.7067719362206 |
L(r)(E,1)/r! |
Ω |
0.6811315038741 |
Real period |
R |
0.82054296148826 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28054f1 |
Quadratic twists by: 13 |