Atkin-Lehner |
2- 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
3120s |
Isogeny class |
Conductor |
3120 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1072727042310144000 = 217 · 318 · 53 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 0 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-256040,-1791888] |
[a1,a2,a3,a4,a6] |
j |
453198971846635561/261896250564000 |
j-invariant |
L |
1.3919585332646 |
L(r)(E,1)/r! |
Ω |
0.23199308887743 |
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 |
390d2 12480cm2 9360bo2 15600cd2 |
Quadratic twists by: -4 8 -3 5 |