Atkin-Lehner |
3- 7- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
80997q |
Isogeny class |
Conductor |
80997 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
728973 = 33 · 72 · 19 · 29 |
Discriminant |
Eigenvalues |
1 3- 4 7- 5 2 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-194,1019] |
[a1,a2,a3,a4,a6] |
j |
16357269481/14877 |
j-invariant |
L |
8.5015899984444 |
L(r)(E,1)/r! |
Ω |
2.8338633470609 |
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 |
80997b1 |
Quadratic twists by: -7 |