Atkin-Lehner |
2- 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200cz |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3.6282065242534E+27 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3687208008,86130121654512] |
[a1,a2,a3,a4,a6] |
j |
86623684689189325642735681/56690726941459561860 |
j-invariant |
L |
0.35126214687769 |
L(r)(E,1)/r! |
Ω |
0.04390777219123 |
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 |
13650bd7 21840cl8 |
Quadratic twists by: -4 5 |