Atkin-Lehner |
2+ 3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450w |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-478315352812500 = -1 · 22 · 310 · 57 · 72 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 2 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,17208,-597884] |
[a1,a2,a3,a4,a6] |
Generators |
[134:-2092:1] [50:596:1] |
Generators of the group modulo torsion |
j |
49471280711/41992020 |
j-invariant |
L |
7.7421049381261 |
L(r)(E,1)/r! |
Ω |
0.28983092271388 |
Real period |
R |
0.83476523848433 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998783 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24150bq2 14490cb2 |
Quadratic twists by: -3 5 |