Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050fa |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
235200 |
Modular degree for the optimal curve |
Δ |
-1356041367450 = -1 · 2 · 37 · 52 · 7 · 116 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- 1 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3693,101421] |
[a1,a2,a3,a4,a6] |
Generators |
[-4236:17937:64] |
Generators of the group modulo torsion |
j |
-125768785/30618 |
j-invariant |
L |
8.2073005645288 |
L(r)(E,1)/r! |
Ω |
0.81595106524909 |
Real period |
R |
5.0292847490225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000082508 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050ej1 1050b1 |
Quadratic twists by: 5 -11 |