Atkin-Lehner |
2- 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
124992ep |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-478125052182134784 = -1 · 219 · 36 · 79 · 31 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 0 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1943436,-1043336432] |
[a1,a2,a3,a4,a6] |
Generators |
[11665266382985748967884030:384443126069432523550644128:5324991076308340937375] |
Generators of the group modulo torsion |
j |
-4247828669470177/2501923634 |
j-invariant |
L |
9.9996585118308 |
L(r)(E,1)/r! |
Ω |
0.06393102334282 |
Real period |
R |
39.103310055781 |
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 |
124992dh3 31248bl3 13888m3 |
Quadratic twists by: -4 8 -3 |