Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
24336f |
Isogeny class |
Conductor |
24336 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1370114370683136 = 28 · 38 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-79599,-8458450] |
[a1,a2,a3,a4,a6] |
j |
61918288/1521 |
j-invariant |
L |
2.2772616275468 |
L(r)(E,1)/r! |
Ω |
0.28465770344335 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12168n2 97344fh2 8112b2 1872i2 |
Quadratic twists by: -4 8 -3 13 |