Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280fm |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-17146080000 = -1 · 28 · 37 · 54 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 -1 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,168,-6244] |
[a1,a2,a3,a4,a6] |
Generators |
[22:90:1] |
Generators of the group modulo torsion |
j |
57344/1875 |
j-invariant |
L |
5.7022106849576 |
L(r)(E,1)/r! |
Ω |
0.59382188700485 |
Real period |
R |
0.30008002029646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8820x1 11760bm1 35280ds1 |
Quadratic twists by: -4 -3 -7 |