Atkin-Lehner |
2- 3- 5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
28710bh |
Isogeny class |
Conductor |
28710 |
Conductor |
∏ cp |
58 |
Product of Tamagawa factors cp |
deg |
361920 |
Modular degree for the optimal curve |
Δ |
-390155835801600000 = -1 · 229 · 36 · 55 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-282713,65268281] |
[a1,a2,a3,a4,a6] |
Generators |
[423:-4820:1] |
Generators of the group modulo torsion |
j |
-3427931074939043401/535193190400000 |
j-invariant |
L |
8.9909595873827 |
L(r)(E,1)/r! |
Ω |
0.2898242703153 |
Real period |
R |
0.53486391750905 |
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 |
3190b1 |
Quadratic twists by: -3 |