Atkin-Lehner |
3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
20475v |
Isogeny class |
Conductor |
20475 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4127528075516015625 = 312 · 58 · 76 · 132 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-419855,-37446978] |
[a1,a2,a3,a4,a6] |
Generators |
[-591:2295:1] |
Generators of the group modulo torsion |
j |
718576775407009/362361861225 |
j-invariant |
L |
3.3828281148685 |
L(r)(E,1)/r! |
Ω |
0.19775608602068 |
Real period |
R |
4.2765158116485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6825b2 4095m2 |
Quadratic twists by: -3 5 |