Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111600dq |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-10247667764428800 = -1 · 221 · 38 · 52 · 313 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 3 -5 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,29085,-4480670] |
[a1,a2,a3,a4,a6] |
Generators |
[311:5886:1] |
Generators of the group modulo torsion |
j |
36450495095/137276928 |
j-invariant |
L |
6.1724737535501 |
L(r)(E,1)/r! |
Ω |
0.20662591618578 |
Real period |
R |
3.7340873264548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000055049 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13950u2 37200cs2 111600fs2 |
Quadratic twists by: -4 -3 5 |