Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
10920n |
Isogeny class |
Conductor |
10920 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
23372294400 = 28 · 32 · 52 · 74 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12740,557700] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:1050:1] |
Generators of the group modulo torsion |
j |
893359210685776/91298025 |
j-invariant |
L |
4.1909402411586 |
L(r)(E,1)/r! |
Ω |
1.1512060167133 |
Real period |
R |
1.8202390277301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
21840s2 87360ch2 32760n2 54600t2 |
Quadratic twists by: -4 8 -3 5 |