Atkin-Lehner |
2+ 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
15624h |
Isogeny class |
Conductor |
15624 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2391331444992 = 28 · 316 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ -6 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9687,-359350] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:54:1] [-53:72:1] |
Generators of the group modulo torsion |
j |
538671647824/12813633 |
j-invariant |
L |
5.4972117612869 |
L(r)(E,1)/r! |
Ω |
0.48192740799988 |
Real period |
R |
5.7033607863284 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31248y2 124992br2 5208h2 109368bb2 |
Quadratic twists by: -4 8 -3 -7 |