Atkin-Lehner |
2+ 3- 5+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
47970i |
Isogeny class |
Conductor |
47970 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-8.8537569583764E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,200250,-451446170] |
[a1,a2,a3,a4,a6] |
Generators |
[3131:174110:1] |
Generators of the group modulo torsion |
j |
1218183010131203999/121450712734930410 |
j-invariant |
L |
4.220008066256 |
L(r)(E,1)/r! |
Ω |
0.090704143503156 |
Real period |
R |
5.8156219540685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15990q6 |
Quadratic twists by: -3 |