Atkin-Lehner |
2+ 3- 5- 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
36210n |
Isogeny class |
Conductor |
36210 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
18946321245000 = 23 · 32 · 54 · 174 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 2 4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-239573,45113528] |
[a1,a2,a3,a4,a6] |
Generators |
[264:400:1] |
Generators of the group modulo torsion |
j |
1520669096042814701641/18946321245000 |
j-invariant |
L |
5.1583301483513 |
L(r)(E,1)/r! |
Ω |
0.62510240722716 |
Real period |
R |
0.51574850863567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108630l2 |
Quadratic twists by: -3 |