Atkin-Lehner |
2+ 3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
48720r |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
841881600 = 211 · 34 · 52 · 7 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-216536,-38855436] |
[a1,a2,a3,a4,a6] |
Generators |
[19812:379810:27] |
Generators of the group modulo torsion |
j |
548259411116347058/411075 |
j-invariant |
L |
7.4492127994268 |
L(r)(E,1)/r! |
Ω |
0.22131806275096 |
Real period |
R |
8.4146010348703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999837 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24360b4 |
Quadratic twists by: -4 |