Atkin-Lehner |
2+ 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
83232b |
Isogeny class |
Conductor |
83232 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
13114870437556224 = 212 · 33 · 179 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 0 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-58956,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-242:308:1] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
6.2259524427459 |
L(r)(E,1)/r! |
Ω |
0.33654273000207 |
Real period |
R |
4.6249345836728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988196 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83232b2 83232z2 83232a2 |
Quadratic twists by: -4 -3 17 |