Atkin-Lehner |
2+ 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992cb |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
21335978409984 = 217 · 37 · 74 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-143436,-20907920] |
[a1,a2,a3,a4,a6] |
Generators |
[1005:29155:1] |
Generators of the group modulo torsion |
j |
3415550840354/223293 |
j-invariant |
L |
5.0670687539689 |
L(r)(E,1)/r! |
Ω |
0.24532212441575 |
Real period |
R |
5.1636891492271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999730123 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124992fz4 15624j3 41664br4 |
Quadratic twists by: -4 8 -3 |