Atkin-Lehner |
2+ 3+ 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
35520s |
Isogeny class |
Conductor |
35520 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
-5.994E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4837025,37475150625] |
[a1,a2,a3,a4,a6] |
Generators |
[-572600:-69363125:343] |
Generators of the group modulo torsion |
j |
-47744008200656797609/2286529541015625000 |
j-invariant |
L |
5.6092024276053 |
L(r)(E,1)/r! |
Ω |
0.076011787877191 |
Real period |
R |
7.3793849404885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35520dd3 1110f4 106560ce3 |
Quadratic twists by: -4 8 -3 |