Atkin-Lehner |
2- 3+ 5+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
62040m |
Isogeny class |
Conductor |
62040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-351686396160000 = -1 · 211 · 312 · 54 · 11 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11+ -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,15984,451980] |
[a1,a2,a3,a4,a6] |
j |
220507315252702/171721873125 |
j-invariant |
L |
1.3838888868221 |
L(r)(E,1)/r! |
Ω |
0.34597222283268 |
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 |
124080t3 |
Quadratic twists by: -4 |