Atkin-Lehner |
3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
20691i |
Isogeny class |
Conductor |
20691 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
950400 |
Modular degree for the optimal curve |
Δ |
-1.0342748710457E+21 |
Discriminant |
Eigenvalues |
0 3- -2 0 11+ 5 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-8513076,-9684842148] |
[a1,a2,a3,a4,a6] |
j |
-39693696892928/601692057 |
j-invariant |
L |
1.4128844780798 |
L(r)(E,1)/r! |
Ω |
0.044152639939993 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6897b1 20691k1 |
Quadratic twists by: -3 -11 |