Atkin-Lehner |
2- 3- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
21204c |
Isogeny class |
Conductor |
21204 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
391595472 = 24 · 37 · 192 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 4 -4 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-336,-2171] |
[a1,a2,a3,a4,a6] |
j |
359661568/33573 |
j-invariant |
L |
2.2435467618761 |
L(r)(E,1)/r! |
Ω |
1.1217733809381 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84816s1 7068e1 |
Quadratic twists by: -4 -3 |