Atkin-Lehner |
2- 3+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
48720bi |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
6.1741274297795E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1078376,-206676624] |
[a1,a2,a3,a4,a6] |
Generators |
[-899:5950:1] |
Generators of the group modulo torsion |
j |
33859053078578051689/15073553295360000 |
j-invariant |
L |
4.9781124591339 |
L(r)(E,1)/r! |
Ω |
0.15440571282735 |
Real period |
R |
4.0300585127348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999516 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6090g2 |
Quadratic twists by: -4 |