Atkin-Lehner |
3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
126075bb |
Isogeny class |
Conductor |
126075 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1814400 |
Modular degree for the optimal curve |
Δ |
-2054048982338671875 = -1 · 33 · 58 · 417 |
Discriminant |
Eigenvalues |
-1 3- 5- -2 -3 -2 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,188237,-61357108] |
[a1,a2,a3,a4,a6] |
Generators |
[263:2390:1] |
Generators of the group modulo torsion |
j |
397535/1107 |
j-invariant |
L |
4.8063955876941 |
L(r)(E,1)/r! |
Ω |
0.13438591723565 |
Real period |
R |
1.9869788955321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998385963 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126075e1 3075f1 |
Quadratic twists by: 5 41 |