Atkin-Lehner |
2+ 3+ 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
28710a |
Isogeny class |
Conductor |
28710 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
-172260 = -1 · 22 · 33 · 5 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11- -1 -5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,0,20] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:4:1] [1:4:1] |
Generators of the group modulo torsion |
j |
-27/6380 |
j-invariant |
L |
5.6441611842342 |
L(r)(E,1)/r! |
Ω |
2.5605493720819 |
Real period |
R |
0.55106935700717 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28710y1 |
Quadratic twists by: -3 |