Atkin-Lehner |
2- 3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150fa |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-8.8297765004883E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2004520,-922829853] |
[a1,a2,a3,a4,a6] |
j |
78200142092480591/77517928125000 |
j-invariant |
L |
4.123048239685 |
L(r)(E,1)/r! |
Ω |
0.08589683934384 |
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 |
28050j3 16830x4 |
Quadratic twists by: -3 5 |