Atkin-Lehner |
2- 3+ 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59280bb |
Isogeny class |
Conductor |
59280 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
243495629748633600 = 216 · 35 · 52 · 13 · 196 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 13+ 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4301656,3435362800] |
[a1,a2,a3,a4,a6] |
Generators |
[1098:5890:1] |
Generators of the group modulo torsion |
j |
2149170629532880085209/59447175231600 |
j-invariant |
L |
3.5930785898804 |
L(r)(E,1)/r! |
Ω |
0.2903631959351 |
Real period |
R |
2.0624047399032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000948 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7410j2 |
Quadratic twists by: -4 |