Atkin-Lehner |
2- 3- 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
105774y |
Isogeny class |
Conductor |
105774 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
52778880 |
Modular degree for the optimal curve |
Δ |
-2.1365290023217E+23 |
Discriminant |
Eigenvalues |
2- 3- 3 -5 -3 -2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-482694164,4081862315232] |
[a1,a2,a3,a4,a6] |
Generators |
[12664:-15080:1] |
Generators of the group modulo torsion |
j |
-1782988266730027974337/30627914178384 |
j-invariant |
L |
12.421147203246 |
L(r)(E,1)/r! |
Ω |
0.091655899371447 |
Real period |
R |
1.5399925235726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001867 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105774u1 |
Quadratic twists by: 17 |