Atkin-Lehner |
2+ 3- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
32208d |
Isogeny class |
Conductor |
32208 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
650496 |
Modular degree for the optimal curve |
Δ |
-2.0058098483767E+19 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,596068,122900940] |
[a1,a2,a3,a4,a6] |
Generators |
[2506:131760:1] |
Generators of the group modulo torsion |
j |
91489328511191062832/78351947202214719 |
j-invariant |
L |
7.9504233155596 |
L(r)(E,1)/r! |
Ω |
0.14040263785913 |
Real period |
R |
1.7159358422813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16104b1 128832bf1 96624q1 |
Quadratic twists by: -4 8 -3 |