Atkin-Lehner |
2- 3+ 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
31350bi |
Isogeny class |
Conductor |
31350 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
1.346174337024E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-43647063,-110866899219] |
[a1,a2,a3,a4,a6] |
Generators |
[-3845:13322:1] |
Generators of the group modulo torsion |
j |
588530213343917460371881/861551575695360000 |
j-invariant |
L |
7.9689578314439 |
L(r)(E,1)/r! |
Ω |
0.058742033900259 |
Real period |
R |
0.94208493077629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94050bp3 6270l3 |
Quadratic twists by: -3 5 |