Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
31248r |
Isogeny class |
Conductor |
31248 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
333374662656 = 211 · 37 · 74 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35859,2613490] |
[a1,a2,a3,a4,a6] |
Generators |
[117:140:1] |
Generators of the group modulo torsion |
j |
3415550840354/223293 |
j-invariant |
L |
7.085954025539 |
L(r)(E,1)/r! |
Ω |
0.91345673950237 |
Real period |
R |
0.96966196086627 |
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 |
15624j3 124992fz4 10416k3 |
Quadratic twists by: -4 8 -3 |