Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600hl |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-1234800000000 = -1 · 210 · 32 · 58 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 3 0 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-833,-54537] |
[a1,a2,a3,a4,a6] |
Generators |
[154:1869:1] |
Generators of the group modulo torsion |
j |
-160000/3087 |
j-invariant |
L |
7.4701072891447 |
L(r)(E,1)/r! |
Ω |
0.37184368636744 |
Real period |
R |
3.3482291811559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33600bo1 8400p1 100800pt1 33600ek1 |
Quadratic twists by: -4 8 -3 5 |