Atkin-Lehner |
2- 3- 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
6222f |
Isogeny class |
Conductor |
6222 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
28160 |
Modular degree for the optimal curve |
Δ |
-5989252202496 = -1 · 222 · 34 · 172 · 61 |
Discriminant |
Eigenvalues |
2- 3- -3 -5 3 7 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,328,-117696] |
[a1,a2,a3,a4,a6] |
Generators |
[64:376:1] |
Generators of the group modulo torsion |
j |
3901777377407/5989252202496 |
j-invariant |
L |
5.4514878597556 |
L(r)(E,1)/r! |
Ω |
0.35175896895432 |
Real period |
R |
0.088055644839984 |
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 |
49776l1 18666c1 105774s1 |
Quadratic twists by: -4 -3 17 |