Atkin-Lehner |
3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
20475j |
Isogeny class |
Conductor |
20475 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
2.42062530271E+19 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 6 13- 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3287817,-2281549534] |
[a1,a2,a3,a4,a6] |
Generators |
[-1066:3858:1] |
Generators of the group modulo torsion |
j |
9316717055063573427/57377784953125 |
j-invariant |
L |
6.9133474178354 |
L(r)(E,1)/r! |
Ω |
0.11215890146174 |
Real period |
R |
3.0819432643042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20475l2 4095a2 |
Quadratic twists by: -3 5 |