Atkin-Lehner |
2- 5- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
3910l |
Isogeny class |
Conductor |
3910 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-47729492187500 = -1 · 22 · 515 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 1 5- -2 1 -4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7666950,8170490000] |
[a1,a2,a3,a4,a6] |
Generators |
[1600:-700:1] |
Generators of the group modulo torsion |
j |
-49841557909700385914920801/47729492187500 |
j-invariant |
L |
5.8557822326195 |
L(r)(E,1)/r! |
Ω |
0.39961427947287 |
Real period |
R |
0.48845286846304 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31280x1 125120f1 35190n1 19550j1 |
Quadratic twists by: -4 8 -3 5 |