Atkin-Lehner |
2- 3+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
80802k |
Isogeny class |
Conductor |
80802 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
97920 |
Modular degree for the optimal curve |
Δ |
-378874760256 = -1 · 26 · 39 · 673 |
Discriminant |
Eigenvalues |
2- 3+ -3 -3 0 0 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1244,34399] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-143:1] [-11:221:1] |
Generators of the group modulo torsion |
j |
-35937/64 |
j-invariant |
L |
12.523579115058 |
L(r)(E,1)/r! |
Ω |
0.85091826436116 |
Real period |
R |
0.61323844874779 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000244 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80802b1 80802a1 |
Quadratic twists by: -3 -67 |