Atkin-Lehner |
3+ 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
36075a |
Isogeny class |
Conductor |
36075 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
114381353759765625 = 34 · 514 · 132 · 372 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 -4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-167375,20664000] |
[a1,a2,a3,a4,a6] |
Generators |
[-802:48699:8] |
Generators of the group modulo torsion |
j |
33187879949168881/7320406640625 |
j-invariant |
L |
4.7544570178833 |
L(r)(E,1)/r! |
Ω |
0.31386355678499 |
Real period |
R |
7.5740826150443 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
108225h2 7215j2 |
Quadratic twists by: -3 5 |