Atkin-Lehner |
3+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
20667a |
Isogeny class |
Conductor |
20667 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9408 |
Modular degree for the optimal curve |
Δ |
-1250498169 = -1 · 37 · 833 |
Discriminant |
Eigenvalues |
1 3+ 3 -2 1 4 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,189,1458] |
[a1,a2,a3,a4,a6] |
Generators |
[2:42:1] |
Generators of the group modulo torsion |
j |
1295029/2187 |
j-invariant |
L |
6.2086246849136 |
L(r)(E,1)/r! |
Ω |
1.0486931330387 |
Real period |
R |
2.9601722798182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62001f1 20667b1 |
Quadratic twists by: -3 -83 |