Atkin-Lehner |
2- 41+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
28208f |
Isogeny class |
Conductor |
28208 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-7221248 = -1 · 212 · 41 · 43 |
Discriminant |
Eigenvalues |
2- -1 -4 -3 0 0 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40,176] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-8:1] [-4:16:1] |
Generators of the group modulo torsion |
j |
-1771561/1763 |
j-invariant |
L |
4.9209634327249 |
L(r)(E,1)/r! |
Ω |
2.1450202326054 |
Real period |
R |
0.5735334517975 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999968 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1763b1 112832bb1 |
Quadratic twists by: -4 8 |