Atkin-Lehner |
2+ 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
11040h |
Isogeny class |
Conductor |
11040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
68558400 = 26 · 34 · 52 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 -6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-690,-7200] |
[a1,a2,a3,a4,a6] |
Generators |
[33:84:1] |
Generators of the group modulo torsion |
j |
568486650304/1071225 |
j-invariant |
L |
5.6962300788979 |
L(r)(E,1)/r! |
Ω |
0.93150245525411 |
Real period |
R |
3.0575496858696 |
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 |
11040j1 22080a2 33120bd1 55200bq1 |
Quadratic twists by: -4 8 -3 5 |