Atkin-Lehner |
2- 3+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
42432cc |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
523402959126528 = 218 · 312 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 4 -2 6 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20961,397953] |
[a1,a2,a3,a4,a6] |
j |
3885442650361/1996623837 |
j-invariant |
L |
3.6759903091395 |
L(r)(E,1)/r! |
Ω |
0.4594987886508 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42432bi2 10608x2 127296dj2 |
Quadratic twists by: -4 8 -3 |