Atkin-Lehner |
2- 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
26928be |
Isogeny class |
Conductor |
26928 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
1.4838983639697E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11+ -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-841971,-232546894] |
[a1,a2,a3,a4,a6] |
Generators |
[-425:6966:1] |
Generators of the group modulo torsion |
j |
22106889268753393/4969545596928 |
j-invariant |
L |
3.1103541210142 |
L(r)(E,1)/r! |
Ω |
0.16014303141356 |
Real period |
R |
4.8555876792758 |
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 |
3366j1 107712en1 8976w1 |
Quadratic twists by: -4 8 -3 |