Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600s |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-107520000000000 = -1 · 219 · 3 · 510 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7000833,-7127390463] |
[a1,a2,a3,a4,a6] |
j |
-14822892630025/42 |
j-invariant |
L |
2.3203426808975 |
L(r)(E,1)/r! |
Ω |
0.04640685361787 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33600ga2 1050o2 100800ew2 33600dh1 |
Quadratic twists by: -4 8 -3 5 |