Atkin-Lehner |
3- 5- 23+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
81765i |
Isogeny class |
Conductor |
81765 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
2545920 |
Modular degree for the optimal curve |
Δ |
-2.3243437957764E+19 |
Discriminant |
Eigenvalues |
0 3- 5- 5 1 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1993782,-1108137875] |
[a1,a2,a3,a4,a6] |
j |
-1202345262001752408064/31884002685546875 |
j-invariant |
L |
2.1564994676874 |
L(r)(E,1)/r! |
Ω |
0.063426457296536 |
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 |
9085d1 |
Quadratic twists by: -3 |