Atkin-Lehner |
2- 3- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
33456q |
Isogeny class |
Conductor |
33456 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-78932606976 = -1 · 222 · 33 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 3- 1 3 -2 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6840,215892] |
[a1,a2,a3,a4,a6] |
Generators |
[102:768:1] |
Generators of the group modulo torsion |
j |
-8641627880761/19270656 |
j-invariant |
L |
8.2951547147624 |
L(r)(E,1)/r! |
Ω |
1.0872823741925 |
Real period |
R |
0.63577126724806 |
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 |
4182b1 100368bw1 |
Quadratic twists by: -4 -3 |