Atkin-Lehner |
2- 3+ 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
26334be |
Isogeny class |
Conductor |
26334 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
49833197568 = 214 · 33 · 72 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1040,7411] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:137:1] |
Generators of the group modulo torsion |
j |
4603290847875/1845673984 |
j-invariant |
L |
8.8548529189133 |
L(r)(E,1)/r! |
Ω |
1.023838772372 |
Real period |
R |
0.30888139386575 |
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 |
26334g1 |
Quadratic twists by: -3 |