Atkin-Lehner |
2+ 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
45760r |
Isogeny class |
Conductor |
45760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
125384785924935680 = 212 · 5 · 118 · 134 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 11+ 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-742105,245225223] |
[a1,a2,a3,a4,a6] |
Generators |
[333:5928:1] |
Generators of the group modulo torsion |
j |
11034697254917922496/30611520001205 |
j-invariant |
L |
4.5826291522987 |
L(r)(E,1)/r! |
Ω |
0.33124694820602 |
Real period |
R |
3.4586199036118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999883 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45760y2 22880f1 |
Quadratic twists by: -4 8 |