Atkin-Lehner |
2- 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
31248bl |
Isogeny class |
Conductor |
31248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-7470703940345856 = -1 · 213 · 36 · 79 · 31 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 0 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-485859,-130417054] |
[a1,a2,a3,a4,a6] |
Generators |
[91625:27733736:1] |
Generators of the group modulo torsion |
j |
-4247828669470177/2501923634 |
j-invariant |
L |
3.5695649785964 |
L(r)(E,1)/r! |
Ω |
0.090412120267807 |
Real period |
R |
9.8702612216787 |
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 |
3906l3 124992ep3 3472d3 |
Quadratic twists by: -4 8 -3 |