Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920ep |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
26566913640960000 = 212 · 36 · 54 · 76 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-617561,186837465] |
[a1,a2,a3,a4,a6] |
Generators |
[-151:16632:1] |
Generators of the group modulo torsion |
j |
6359222970735949504/6486062900625 |
j-invariant |
L |
5.2297366314031 |
L(r)(E,1)/r! |
Ω |
0.37393663507984 |
Real period |
R |
1.1654685450143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985366 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73920gn2 36960bb1 |
Quadratic twists by: -4 8 |