Atkin-Lehner |
3+ 7- 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
80073c |
Isogeny class |
Conductor |
80073 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32544 |
Modular degree for the optimal curve |
Δ |
-175119651 = -1 · 39 · 7 · 31 · 41 |
Discriminant |
Eigenvalues |
0 3+ -3 7- 6 -6 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-54,-655] |
[a1,a2,a3,a4,a6] |
j |
-884736/8897 |
j-invariant |
L |
1.5321277301203 |
L(r)(E,1)/r! |
Ω |
0.76606388444017 |
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 |
80073d1 |
Quadratic twists by: -3 |