Atkin-Lehner |
2+ 3+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
80802a |
Isogeny class |
Conductor |
80802 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6560640 |
Modular degree for the optimal curve |
Δ |
-3.4272397857426E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 3 3 0 0 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5582913,-10251116803] |
[a1,a2,a3,a4,a6] |
Generators |
[608899455434:93943711139075:25153757] |
Generators of the group modulo torsion |
j |
-35937/64 |
j-invariant |
L |
6.9808331775077 |
L(r)(E,1)/r! |
Ω |
0.046340818997955 |
Real period |
R |
18.830140814451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80802j1 80802k1 |
Quadratic twists by: -3 -67 |