Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600hg |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
18966528000 = 214 · 33 · 53 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-61713,5880303] |
[a1,a2,a3,a4,a6] |
Generators |
[138:105:1] |
Generators of the group modulo torsion |
j |
12692020761488/9261 |
j-invariant |
L |
7.3343784974328 |
L(r)(E,1)/r! |
Ω |
1.0142341157287 |
Real period |
R |
0.40174695936633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33600bj1 8400m1 100800po1 33600fi1 |
Quadratic twists by: -4 8 -3 5 |