Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600fz |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-10581580800 = -1 · 210 · 310 · 52 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -1 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-273,-5337] |
[a1,a2,a3,a4,a6] |
Generators |
[42:243:1] |
Generators of the group modulo torsion |
j |
-88218880/413343 |
j-invariant |
L |
6.6889740945585 |
L(r)(E,1)/r! |
Ω |
0.53169910947847 |
Real period |
R |
1.258037483102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33600q1 8400b1 100800lg1 33600fu1 |
Quadratic twists by: -4 8 -3 5 |