Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600ep |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
19456203375000000 = 26 · 33 · 59 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-132508,-17266238] |
[a1,a2,a3,a4,a6] |
j |
257307998572864/19456203375 |
j-invariant |
L |
1.0057054821624 |
L(r)(E,1)/r! |
Ω |
0.25142637054219 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33600gs1 16800bt2 100800lt1 6720cm1 |
Quadratic twists by: -4 8 -3 5 |