Atkin-Lehner |
2- 3+ 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
43248m |
Isogeny class |
Conductor |
43248 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
376320 |
Modular degree for the optimal curve |
Δ |
194817089233317888 = 212 · 37 · 177 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 0 -3 0 -3 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-311648,63612096] |
[a1,a2,a3,a4,a6] |
Generators |
[-110:9826:1] |
Generators of the group modulo torsion |
j |
817256136359958625/47562765926103 |
j-invariant |
L |
3.8956727024301 |
L(r)(E,1)/r! |
Ω |
0.31329172616962 |
Real period |
R |
0.88818922634708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2703b1 129744bh1 |
Quadratic twists by: -4 -3 |