Atkin-Lehner |
2- 3+ 7- 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
34314q |
Isogeny class |
Conductor |
34314 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
Δ |
-1.6630356407673E+26 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 -2 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,67473987,-582597074061] |
[a1,a2,a3,a4,a6] |
j |
33972916454759190100255859375/166303564076729127493676448 |
j-invariant |
L |
2.887210223863 |
L(r)(E,1)/r! |
Ω |
0.02887210223866 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102942t2 |
Quadratic twists by: -3 |