Atkin-Lehner |
2- 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
24120w |
Isogeny class |
Conductor |
24120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2256409683302400 = 211 · 37 · 52 · 674 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42267,-2442026] |
[a1,a2,a3,a4,a6] |
j |
5593330773938/1511334075 |
j-invariant |
L |
2.7176161346866 |
L(r)(E,1)/r! |
Ω |
0.33970201683583 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48240x4 8040f3 120600u4 |
Quadratic twists by: -4 -3 5 |