Atkin-Lehner |
2- 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
31248bk |
Isogeny class |
Conductor |
31248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-823816416374784 = -1 · 212 · 39 · 73 · 313 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 0 5 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-152256,-22908688] |
[a1,a2,a3,a4,a6] |
Generators |
[2822014072:6481822149:6229504] |
Generators of the group modulo torsion |
j |
-130725250859008/275894451 |
j-invariant |
L |
7.2627914364674 |
L(r)(E,1)/r! |
Ω |
0.1208289590041 |
Real period |
R |
15.027009038911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1953g2 124992er2 10416r2 |
Quadratic twists by: -4 8 -3 |