Atkin-Lehner |
2+ 3- 41- 53- |
Signs for the Atkin-Lehner involutions |
Class |
13038b |
Isogeny class |
Conductor |
13038 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
Δ |
70508768865408 = 27 · 314 · 41 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-25575,-1523606] |
[a1,a2,a3,a4,a6] |
j |
1849891379402749033/70508768865408 |
j-invariant |
L |
2.6488891197795 |
L(r)(E,1)/r! |
Ω |
0.37841273139708 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104304m2 39114m2 |
Quadratic twists by: -4 -3 |