Atkin-Lehner |
2- 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
31248bi |
Isogeny class |
Conductor |
31248 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
22954775792320512 = 224 · 38 · 7 · 313 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 6 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-616395,-186124678] |
[a1,a2,a3,a4,a6] |
Generators |
[1313983:17225728:1331] |
Generators of the group modulo torsion |
j |
8673882953919625/7687507968 |
j-invariant |
L |
5.8634733194082 |
L(r)(E,1)/r! |
Ω |
0.17039540742815 |
Real period |
R |
8.602745531567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3906u3 124992ek3 10416p3 |
Quadratic twists by: -4 8 -3 |