Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
8550bd |
Isogeny class |
Conductor |
8550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
449648908593750 = 2 · 313 · 58 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 -6 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5248355,4629200397] |
[a1,a2,a3,a4,a6] |
j |
1403607530712116449/39475350 |
j-invariant |
L |
3.0853887085555 |
L(r)(E,1)/r! |
Ω |
0.38567358856944 |
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 |
68400ei2 2850c2 1710i2 |
Quadratic twists by: -4 -3 5 |