Atkin-Lehner |
2- 29+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
68962g |
Isogeny class |
Conductor |
68962 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
779520 |
Modular degree for the optimal curve |
Δ |
1414417718355275762 = 2 · 2910 · 412 |
Discriminant |
Eigenvalues |
2- 0 -2 -1 0 2 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-486256,117419697] |
[a1,a2,a3,a4,a6] |
j |
30223017/3362 |
j-invariant |
L |
0.52251893610718 |
L(r)(E,1)/r! |
Ω |
0.26125946751278 |
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 |
68962d1 |
Quadratic twists by: 29 |