Atkin-Lehner |
2- 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105966bs |
Isogeny class |
Conductor |
105966 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
1347840 |
Modular degree for the optimal curve |
Δ |
381031864237817856 = 226 · 39 · 73 · 292 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ -6 2 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-216788,-24993097] |
[a1,a2,a3,a4,a6] |
Generators |
[-219:-3347:1] |
Generators of the group modulo torsion |
j |
1837824455085361/621495189504 |
j-invariant |
L |
7.7670186982357 |
L(r)(E,1)/r! |
Ω |
0.22730424307046 |
Real period |
R |
0.32855907542482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020761 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35322n1 105966r1 |
Quadratic twists by: -3 29 |