Atkin-Lehner |
2- 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
77064w |
Isogeny class |
Conductor |
77064 |
Conductor |
∏ cp |
170 |
Product of Tamagawa factors cp |
deg |
23304960 |
Modular degree for the optimal curve |
Δ |
-4.1092517942E+25 |
Discriminant |
Eigenvalues |
2- 3- 0 5 -1 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-54013808,-344209040928] |
[a1,a2,a3,a4,a6] |
j |
-1762982669155531250/4156929770033781 |
j-invariant |
L |
4.4195211514089 |
L(r)(E,1)/r! |
Ω |
0.025997183751375 |
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 |
5928f1 |
Quadratic twists by: 13 |