Atkin-Lehner |
3- 7- 13- 71- |
Signs for the Atkin-Lehner involutions |
Class |
58149i |
Isogeny class |
Conductor |
58149 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-4.0933452706101E+29 |
Discriminant |
Eigenvalues |
0 3- -3 7- 0 13- -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-737279994,31731801932862] |
[a1,a2,a3,a4,a6] |
Generators |
[16677374:3610985314:343] |
Generators of the group modulo torsion |
j |
-60798593485161010581995487232/561501408862843185576294819 |
j-invariant |
L |
3.1852176182807 |
L(r)(E,1)/r! |
Ω |
0.025560219517121 |
Real period |
R |
10.384683955368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000311 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
19383d2 |
Quadratic twists by: -3 |