Atkin-Lehner |
2+ 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462n |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.5044883375879E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 11- 13+ 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22803414828,1325408688656144] |
[a1,a2,a3,a4,a6] |
j |
13802951728468271053322091/158357056 |
j-invariant |
L |
1.2203302267032 |
L(r)(E,1)/r! |
Ω |
0.076270639169127 |
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 |
33462bs2 2574q2 |
Quadratic twists by: -3 13 |