Atkin-Lehner |
3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
20475v |
Isogeny class |
Conductor |
20475 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.6870194926279E+19 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5436230,-4873232478] |
[a1,a2,a3,a4,a6] |
Generators |
[-5631216:-362065:4096] |
Generators of the group modulo torsion |
j |
1559802282754777489/1481059636875 |
j-invariant |
L |
3.3828281148685 |
L(r)(E,1)/r! |
Ω |
0.098878043010338 |
Real period |
R |
8.5530316232969 |
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 |
6825b3 4095m3 |
Quadratic twists by: -3 5 |