Atkin-Lehner |
2- 3- 5- 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
80370cc |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
2571264 |
Modular degree for the optimal curve |
Δ |
2.9135250228477E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -6 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-774617,37819001] |
[a1,a2,a3,a4,a6] |
j |
70510976620686890569/39966049696127040 |
j-invariant |
L |
3.2470183944165 |
L(r)(E,1)/r! |
Ω |
0.18038991371574 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26790h1 |
Quadratic twists by: -3 |