Atkin-Lehner |
2+ 3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
48720q |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-7248048470046720 = -1 · 211 · 320 · 5 · 7 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,23624,3858164] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:1782:1] |
Generators of the group modulo torsion |
j |
711927350772622/3539086167015 |
j-invariant |
L |
7.8348735550635 |
L(r)(E,1)/r! |
Ω |
0.30101804738017 |
Real period |
R |
1.301395983278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999598 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24360a3 |
Quadratic twists by: -4 |