Atkin-Lehner |
5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10285i |
Isogeny class |
Conductor |
10285 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
3024 |
Modular degree for the optimal curve |
Δ |
160703125 = 57 · 112 · 17 |
Discriminant |
Eigenvalues |
0 -1 5- -4 11- -2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-975,12033] |
[a1,a2,a3,a4,a6] |
Generators |
[9:62:1] |
Generators of the group modulo torsion |
j |
848003301376/1328125 |
j-invariant |
L |
2.1864462246667 |
L(r)(E,1)/r! |
Ω |
1.817457023265 |
Real period |
R |
0.17186071344099 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92565be1 51425m1 10285k1 |
Quadratic twists by: -3 5 -11 |