Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600bd |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
241920000000 = 214 · 33 · 57 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31633,-2154863] |
[a1,a2,a3,a4,a6] |
j |
13674725584/945 |
j-invariant |
L |
1.4319409446158 |
L(r)(E,1)/r! |
Ω |
0.35798523615466 |
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 |
33600ge1 4200ba1 100800fl1 6720bb1 |
Quadratic twists by: -4 8 -3 5 |