Atkin-Lehner |
2- 7- 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
128674p |
Isogeny class |
Conductor |
128674 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
128674 = 2 · 72 · 13 · 101 |
Discriminant |
Eigenvalues |
2- 1 -3 7- -4 13+ 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-22,34] |
[a1,a2,a3,a4,a6] |
Generators |
[6:31:8] |
Generators of the group modulo torsion |
j |
24100657/2626 |
j-invariant |
L |
8.9554391879963 |
L(r)(E,1)/r! |
Ω |
3.1922891830028 |
Real period |
R |
2.8053345540054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040803 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128674o1 |
Quadratic twists by: -7 |