Atkin-Lehner |
2- 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
64192cg |
Isogeny class |
Conductor |
64192 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
29675520 |
Modular degree for the optimal curve |
Δ |
-1.8421561519094E+20 |
Discriminant |
Eigenvalues |
2- -1 -2 -4 -2 7 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3730793889,87711422883649] |
[a1,a2,a3,a4,a6] |
Generators |
[969231:5570560:27] |
Generators of the group modulo torsion |
j |
-21907234671397038959171876713/702726803554304 |
j-invariant |
L |
3.2072460307599 |
L(r)(E,1)/r! |
Ω |
0.095525509616482 |
Real period |
R |
1.6787379851652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995351 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64192z1 16048z1 |
Quadratic twists by: -4 8 |