Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
31248o |
Isogeny class |
Conductor |
31248 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5694583523328 = 211 · 310 · 72 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 2 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31755,-2175014] |
[a1,a2,a3,a4,a6] |
Generators |
[762:20398:1] |
Generators of the group modulo torsion |
j |
2371933903250/3814209 |
j-invariant |
L |
5.8266890261086 |
L(r)(E,1)/r! |
Ω |
0.35767490492904 |
Real period |
R |
4.0726152057443 |
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 |
15624u2 124992fn2 10416i2 |
Quadratic twists by: -4 8 -3 |