Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050ja |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
210 |
Product of Tamagawa factors cp |
deg |
228480 |
Modular degree for the optimal curve |
Δ |
-398469456000 = -1 · 27 · 35 · 53 · 7 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- -6 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1273,34937] |
[a1,a2,a3,a4,a6] |
Generators |
[32:149:1] |
Generators of the group modulo torsion |
j |
-124666421/217728 |
j-invariant |
L |
11.862280533366 |
L(r)(E,1)/r! |
Ω |
0.84787340400943 |
Real period |
R |
0.066622033374935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999892454 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050cf1 127050es1 |
Quadratic twists by: 5 -11 |