Atkin-Lehner |
2+ 3- 5+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270bd |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-3.4500658493552E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5052664,-5205814138] |
[a1,a2,a3,a4,a6] |
j |
-14265429275015196487341049/3450065849355249432000 |
j-invariant |
L |
2.3862626307649 |
L(r)(E,1)/r! |
Ω |
0.049713804806468 |
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 |
117810ep3 |
Quadratic twists by: -3 |