Atkin-Lehner |
2+ 3+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
42432c |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2400632832 = 214 · 3 · 132 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 0 13+ 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18513,975729] |
[a1,a2,a3,a4,a6] |
Generators |
[-155:312:1] [29:680:1] |
Generators of the group modulo torsion |
j |
42830942866000/146523 |
j-invariant |
L |
7.7907558666677 |
L(r)(E,1)/r! |
Ω |
1.2697988095331 |
Real period |
R |
1.5338563495607 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42432ce2 2652g2 127296a2 |
Quadratic twists by: -4 8 -3 |