Atkin-Lehner |
2- 3+ 5- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
36270bk |
Isogeny class |
Conductor |
36270 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
762289128900 = 22 · 39 · 52 · 13 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 0 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-217757,-39057119] |
[a1,a2,a3,a4,a6] |
Generators |
[16257:178618:27] |
Generators of the group modulo torsion |
j |
58015885327629867/38728300 |
j-invariant |
L |
10.364218720903 |
L(r)(E,1)/r! |
Ω |
0.22100733958543 |
Real period |
R |
7.8158933095047 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36270e1 |
Quadratic twists by: -3 |