Atkin-Lehner |
2+ 3- 5+ 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
28290d |
Isogeny class |
Conductor |
28290 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
282624 |
Modular degree for the optimal curve |
Δ |
-3287536541280000 = -1 · 28 · 312 · 54 · 23 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 6 -2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-159109,24570032] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:5414:1] |
Generators of the group modulo torsion |
j |
-445455193856947520329/3287536541280000 |
j-invariant |
L |
5.1872578117327 |
L(r)(E,1)/r! |
Ω |
0.4495752838578 |
Real period |
R |
0.48075539273616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84870bg1 |
Quadratic twists by: -3 |