Atkin-Lehner |
2- 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
124992eh |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2870070095757312 = 214 · 312 · 73 · 312 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 0 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75900,7624528] |
[a1,a2,a3,a4,a6] |
Generators |
[-298:1944:1] |
Generators of the group modulo torsion |
j |
4048569250000/240295167 |
j-invariant |
L |
7.1357528050055 |
L(r)(E,1)/r! |
Ω |
0.44505676919799 |
Real period |
R |
2.0041692840755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999341818 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124992cz2 31248bh2 41664de2 |
Quadratic twists by: -4 8 -3 |