Atkin-Lehner |
2+ 3+ 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
19032f |
Isogeny class |
Conductor |
19032 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
13360464 = 24 · 34 · 132 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 -6 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-59,24] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:13:1] |
Generators of the group modulo torsion |
j |
1443776512/835029 |
j-invariant |
L |
2.5608782766457 |
L(r)(E,1)/r! |
Ω |
1.8956157239064 |
Real period |
R |
0.67547400149444 |
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 |
38064q1 57096s1 |
Quadratic twists by: -4 -3 |