Atkin-Lehner |
2+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
64064j |
Isogeny class |
Conductor |
64064 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-119333285046976 = -1 · 26 · 73 · 114 · 135 |
Discriminant |
Eigenvalues |
2+ -2 1 7+ 11- 13- 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-63525,6163861] |
[a1,a2,a3,a4,a6] |
Generators |
[44:1859:1] |
Generators of the group modulo torsion |
j |
-442980486619070464/1864582578859 |
j-invariant |
L |
4.0266008525754 |
L(r)(E,1)/r! |
Ω |
0.5924369764826 |
Real period |
R |
0.33983368800537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64064bk1 1001a1 |
Quadratic twists by: -4 8 |