Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
10920n |
Isogeny class |
Conductor |
10920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2631221013657600 = 211 · 32 · 52 · 7 · 138 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-76720,-7772468] |
[a1,a2,a3,a4,a6] |
Generators |
[489:8450:1] |
Generators of the group modulo torsion |
j |
24385137179326562/1284775885575 |
j-invariant |
L |
4.1909402411586 |
L(r)(E,1)/r! |
Ω |
0.28780150417833 |
Real period |
R |
1.8202390277301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21840s6 87360ch6 32760n6 54600t6 |
Quadratic twists by: -4 8 -3 5 |