Atkin-Lehner |
2+ 3+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
80802c |
Isogeny class |
Conductor |
80802 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1292544 |
Modular degree for the optimal curve |
Δ |
-477171946110290436 = -1 · 22 · 39 · 677 |
Discriminant |
Eigenvalues |
2+ 3+ 1 1 -2 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-977199,373538177] |
[a1,a2,a3,a4,a6] |
j |
-57960603/268 |
j-invariant |
L |
2.3750074313316 |
L(r)(E,1)/r! |
Ω |
0.29687592665759 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80802l1 1206c1 |
Quadratic twists by: -3 -67 |