Atkin-Lehner |
2- 3- 7+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
81396f |
Isogeny class |
Conductor |
81396 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3379200 |
Modular degree for the optimal curve |
Δ |
4.3611426416142E+19 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ -6 1 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9496632,-11259774412] |
[a1,a2,a3,a4,a6] |
j |
507533888740372946944/233686055470581 |
j-invariant |
L |
0.17200823726477 |
L(r)(E,1)/r! |
Ω |
0.086004099652404 |
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 |
27132a1 |
Quadratic twists by: -3 |