Atkin-Lehner |
2+ 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
28054a |
Isogeny class |
Conductor |
28054 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
58032 |
Modular degree for the optimal curve |
Δ |
-541645198744 = -1 · 23 · 138 · 83 |
Discriminant |
Eigenvalues |
2+ -2 2 -3 2 13+ -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8285,291696] |
[a1,a2,a3,a4,a6] |
Generators |
[14:415:1] |
Generators of the group modulo torsion |
j |
-77086633/664 |
j-invariant |
L |
2.339839562387 |
L(r)(E,1)/r! |
Ω |
0.92885050509944 |
Real period |
R |
0.83969004324563 |
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 |
28054i1 |
Quadratic twists by: 13 |