Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
105966ci |
Isogeny class |
Conductor |
105966 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
55055823814656 = 214 · 39 · 7 · 293 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 4 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12164,376103] |
[a1,a2,a3,a4,a6] |
Generators |
[21:349:1] |
Generators of the group modulo torsion |
j |
11194326053/3096576 |
j-invariant |
L |
12.714082976196 |
L(r)(E,1)/r! |
Ω |
0.58620881168381 |
Real period |
R |
1.5491899187695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029285 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35322r1 105966bd1 |
Quadratic twists by: -3 29 |