Atkin-Lehner |
2+ 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920cf |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
196709990400 = 214 · 34 · 52 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11+ -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2161,31535] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:189:1] [-31:264:1] |
Generators of the group modulo torsion |
j |
68150496976/12006225 |
j-invariant |
L |
11.328308630711 |
L(r)(E,1)/r! |
Ω |
0.95812423187447 |
Real period |
R |
1.4779279468344 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000087 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73920fc2 9240h2 |
Quadratic twists by: -4 8 |