Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050hu |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
1260 |
Product of Tamagawa factors cp |
deg |
2177280 |
Modular degree for the optimal curve |
Δ |
-968585393160000000 = -1 · 29 · 35 · 57 · 77 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 0 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-807463,283193417] |
[a1,a2,a3,a4,a6] |
Generators |
[422:-4411:1] |
Generators of the group modulo torsion |
j |
-30795427858316209/512309629440 |
j-invariant |
L |
15.247153094791 |
L(r)(E,1)/r! |
Ω |
0.27895982905557 |
Real period |
R |
0.043378701360792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031681 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25410d1 127050cn1 |
Quadratic twists by: 5 -11 |