Atkin-Lehner |
2- 3- 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
6954n |
Isogeny class |
Conductor |
6954 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-332881415424 = -1 · 28 · 310 · 192 · 61 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 -5 3 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-276,27792] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:174:1] |
Generators of the group modulo torsion |
j |
-2325676477249/332881415424 |
j-invariant |
L |
6.4730420072422 |
L(r)(E,1)/r! |
Ω |
0.78801433478846 |
Real period |
R |
0.051339818020093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55632m1 20862l1 |
Quadratic twists by: -4 -3 |