Atkin-Lehner |
2- 3+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
64350cz |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-15790717800 = -1 · 23 · 33 · 52 · 113 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-200,-6093] |
[a1,a2,a3,a4,a6] |
Generators |
[23:21:1] |
Generators of the group modulo torsion |
j |
-1304585595/23393656 |
j-invariant |
L |
9.3639305392093 |
L(r)(E,1)/r! |
Ω |
0.53387448722886 |
Real period |
R |
0.97442072194692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000285 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64350d2 64350s1 |
Quadratic twists by: -3 5 |