Atkin-Lehner |
19- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
24187b |
Isogeny class |
Conductor |
24187 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
31590 |
Modular degree for the optimal curve |
Δ |
-3152074027 = -1 · 196 · 67 |
Discriminant |
Eigenvalues |
-2 2 2 -2 -4 -2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4452,115864] |
[a1,a2,a3,a4,a6] |
j |
-207474688/67 |
j-invariant |
L |
1.3902448488488 |
L(r)(E,1)/r! |
Ω |
1.3902448488489 |
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 |
67a1 |
Quadratic twists by: -19 |