Atkin-Lehner |
3- 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
67725p |
Isogeny class |
Conductor |
67725 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
8.3498207763919E+22 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 0 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-401335317,-3094501648784] |
[a1,a2,a3,a4,a6] |
Generators |
[-420584293531008792:7682213534769371:36356800113152] |
Generators of the group modulo torsion |
j |
627622196915889338574601/7330432506023025 |
j-invariant |
L |
6.3846107970968 |
L(r)(E,1)/r! |
Ω |
0.033730518277565 |
Real period |
R |
23.660364275088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22575c2 13545g2 |
Quadratic twists by: -3 5 |