Atkin-Lehner |
2+ 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
68544ck |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
40774358016 = 210 · 39 · 7 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2064,34760] |
[a1,a2,a3,a4,a6] |
j |
1302642688/54621 |
j-invariant |
L |
2.2711706825806 |
L(r)(E,1)/r! |
Ω |
1.1355853460664 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68544dy1 4284i1 22848l1 |
Quadratic twists by: -4 8 -3 |