Atkin-Lehner |
2- 7- 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
68306x |
Isogeny class |
Conductor |
68306 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
435456 |
Modular degree for the optimal curve |
Δ |
-37326292961671952 = -1 · 24 · 710 · 173 · 412 |
Discriminant |
Eigenvalues |
2- 1 2 7- -1 -1 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,43168,8634128] |
[a1,a2,a3,a4,a6] |
j |
31494046703/132140048 |
j-invariant |
L |
6.2627461722048 |
L(r)(E,1)/r! |
Ω |
0.260947757633 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68306t1 |
Quadratic twists by: -7 |