Atkin-Lehner |
3+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
20667g |
Isogeny class |
Conductor |
20667 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2321676 |
Modular degree for the optimal curve |
Δ |
-4.4331868005193E+19 |
Discriminant |
Eigenvalues |
2 3+ -2 3 0 -3 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-39834494,-96756435499] |
[a1,a2,a3,a4,a6] |
j |
-3103679721472/19683 |
j-invariant |
L |
2.2535429000409 |
L(r)(E,1)/r! |
Ω |
0.030047238667211 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62001m1 20667h1 |
Quadratic twists by: -3 -83 |