Atkin-Lehner |
2- 3+ 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
34320bh |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2.3964302753311E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11+ 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40320,235560960] |
[a1,a2,a3,a4,a6] |
j |
-1769848555063681/5850659851882560 |
j-invariant |
L |
1.3688496070017 |
L(r)(E,1)/r! |
Ω |
0.17110620087554 |
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 |
4290bc4 102960dt3 |
Quadratic twists by: -4 -3 |