Atkin-Lehner |
2+ 3- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
106128m |
Isogeny class |
Conductor |
106128 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
248813275392 = 28 · 39 · 11 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 11- 4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1695,12062] |
[a1,a2,a3,a4,a6] |
Generators |
[49:216:1] |
Generators of the group modulo torsion |
j |
2885794000/1333233 |
j-invariant |
L |
5.3198190791948 |
L(r)(E,1)/r! |
Ω |
0.882506208101 |
Real period |
R |
1.5070202999199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999953766 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53064o1 35376a1 |
Quadratic twists by: -4 -3 |