Atkin-Lehner |
2+ 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
68544cl |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
5713073856 = 26 · 37 · 74 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-759,7180] |
[a1,a2,a3,a4,a6] |
j |
1036433728/122451 |
j-invariant |
L |
2.610743792124 |
L(r)(E,1)/r! |
Ω |
1.3053718982754 |
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 |
68544bl1 34272bm3 22848bh1 |
Quadratic twists by: -4 8 -3 |