Atkin-Lehner |
2+ 3- 5- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
58650bg |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
208 |
Product of Tamagawa factors cp |
Δ |
5.2799319252821E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -4 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-66749451,-206977222202] |
[a1,a2,a3,a4,a6] |
Generators |
[-5098:31236:1] |
Generators of the group modulo torsion |
j |
16839793358756085422069/270332514574445808 |
j-invariant |
L |
3.9931496837461 |
L(r)(E,1)/r! |
Ω |
0.052870115196508 |
Real period |
R |
1.4524526717251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58650bu2 |
Quadratic twists by: 5 |