Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
10920n |
Isogeny class |
Conductor |
10920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
9784320 = 210 · 3 · 5 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-203840,35490780] |
[a1,a2,a3,a4,a6] |
Generators |
[277:452:1] |
Generators of the group modulo torsion |
j |
914732517663095044/9555 |
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 |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
21840s4 87360ch4 32760n4 54600t4 |
Quadratic twists by: -4 8 -3 5 |