Atkin-Lehner |
2+ 3- 5+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
47970i |
Isogeny class |
Conductor |
47970 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
116567100 = 22 · 37 · 52 · 13 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7675200,-8182402700] |
[a1,a2,a3,a4,a6] |
Generators |
[294501:-29794379:27] |
Generators of the group modulo torsion |
j |
68590713257855016883201/159900 |
j-invariant |
L |
4.220008066256 |
L(r)(E,1)/r! |
Ω |
0.090704143503156 |
Real period |
R |
11.631243908137 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15990q4 |
Quadratic twists by: -3 |