Atkin-Lehner |
2+ 29+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
17168b |
Isogeny class |
Conductor |
17168 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
10905388288 = 28 · 292 · 373 |
Discriminant |
Eigenvalues |
2+ -1 4 -5 -3 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2081,-35507] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:5:1] |
Generators of the group modulo torsion |
j |
3895010796544/42599173 |
j-invariant |
L |
4.1216412460137 |
L(r)(E,1)/r! |
Ω |
0.70729587868339 |
Real period |
R |
2.9136612910045 |
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 |
8584d1 68672bg1 |
Quadratic twists by: -4 8 |