Atkin-Lehner |
2- 3+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
10560bu |
Isogeny class |
Conductor |
10560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-364953600 = -1 · 214 · 34 · 52 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11+ 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,175,177] |
[a1,a2,a3,a4,a6] |
Generators |
[8:45:1] |
Generators of the group modulo torsion |
j |
35969456/22275 |
j-invariant |
L |
3.7989299842335 |
L(r)(E,1)/r! |
Ω |
1.0499861628724 |
Real period |
R |
1.8090381181029 |
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 |
10560bc2 2640i2 31680cy2 52800gc2 |
Quadratic twists by: -4 8 -3 5 |