Atkin-Lehner |
2+ 3- 17- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
67728h |
Isogeny class |
Conductor |
67728 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
3818880 |
Modular degree for the optimal curve |
Δ |
-124325935269606144 = -1 · 28 · 315 · 173 · 832 |
Discriminant |
Eigenvalues |
2+ 3- 3 -4 -5 5 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7264169,7533357603] |
[a1,a2,a3,a4,a6] |
Generators |
[1366:12699:1] |
Generators of the group modulo torsion |
j |
-165592866819930546568192/485648184646899 |
j-invariant |
L |
7.9067965942313 |
L(r)(E,1)/r! |
Ω |
0.28755858915707 |
Real period |
R |
0.30551441966373 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000662 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33864i1 |
Quadratic twists by: -4 |