Atkin-Lehner |
2- 3- 7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
75348j |
Isogeny class |
Conductor |
75348 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
4.0527619618612E+22 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 13+ 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-416175231,-3267838234586] |
[a1,a2,a3,a4,a6] |
Generators |
[-80678275:-16196922:6859] |
Generators of the group modulo torsion |
j |
42715442165425790032504528/217161884959123923 |
j-invariant |
L |
6.6800501990478 |
L(r)(E,1)/r! |
Ω |
0.033425709145565 |
Real period |
R |
2.775662128275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000075 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25116g2 |
Quadratic twists by: -3 |