Atkin-Lehner |
2- 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
68208cn |
Isogeny class |
Conductor |
68208 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
Δ |
-2.2079072304124E+26 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -6 4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,53970936,-698408300556] |
[a1,a2,a3,a4,a6] |
j |
36079072622241241607/458176313589497856 |
j-invariant |
L |
3.4629783999385 |
L(r)(E,1)/r! |
Ω |
0.027483955477859 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8526e2 1392i2 |
Quadratic twists by: -4 -7 |