Atkin-Lehner |
2+ 3- 5- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39270bp |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
8.2064058388669E+30 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-141721078503,-20534789449019414] |
[a1,a2,a3,a4,a6] |
Generators |
[5792893940456:1451069383876227:12487168] |
Generators of the group modulo torsion |
j |
314794443646748303921433115102799635561/8206405838866889178408192798720 |
j-invariant |
L |
6.2050173537764 |
L(r)(E,1)/r! |
Ω |
0.0077811111991349 |
Real period |
R |
11.075641302985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810dq7 |
Quadratic twists by: -3 |