Atkin-Lehner |
11- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
64493i |
Isogeny class |
Conductor |
64493 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-114253283573 = -1 · 118 · 13 · 41 |
Discriminant |
Eigenvalues |
1 -1 -2 -2 11- 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1091,20926] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-124:1] |
Generators of the group modulo torsion |
j |
-81182737/64493 |
j-invariant |
L |
2.4582738258849 |
L(r)(E,1)/r! |
Ω |
0.96549547486335 |
Real period |
R |
1.2730633597799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988662 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5863a1 |
Quadratic twists by: -11 |