Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
10920n |
Isogeny class |
Conductor |
10920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-17986179120 = -1 · 24 · 3 · 5 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-735,10272] |
[a1,a2,a3,a4,a6] |
Generators |
[32:136:1] |
Generators of the group modulo torsion |
j |
-2748251600896/1124136195 |
j-invariant |
L |
4.1909402411586 |
L(r)(E,1)/r! |
Ω |
1.1512060167133 |
Real period |
R |
3.6404780554602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
21840s1 87360ch1 32760n1 54600t1 |
Quadratic twists by: -4 8 -3 5 |