Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600s |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-856498058035200 = -1 · 223 · 35 · 52 · 75 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1407,-1408383] |
[a1,a2,a3,a4,a6] |
j |
46969655/130691232 |
j-invariant |
L |
2.3203426808975 |
L(r)(E,1)/r! |
Ω |
0.23203426808935 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33600ga1 1050o1 100800ew1 33600dh2 |
Quadratic twists by: -4 8 -3 5 |