Atkin-Lehner |
2+ 31- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
21328c |
Isogeny class |
Conductor |
21328 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15232 |
Modular degree for the optimal curve |
Δ |
-1695725296 = -1 · 24 · 31 · 434 |
Discriminant |
Eigenvalues |
2+ 2 -3 3 -2 -6 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-292,2859] |
[a1,a2,a3,a4,a6] |
j |
-172678690048/105982831 |
j-invariant |
L |
2.7662123586987 |
L(r)(E,1)/r! |
Ω |
1.3831061793494 |
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 |
10664d1 85312bb1 |
Quadratic twists by: -4 8 |