Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992gl |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
71990784294912 = 221 · 36 · 72 · 312 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 2 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27180,1675728] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:1728:1] |
Generators of the group modulo torsion |
j |
11619959625/376712 |
j-invariant |
L |
7.7423331461321 |
L(r)(E,1)/r! |
Ω |
0.61145985375869 |
Real period |
R |
1.5827558173508 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027418 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124992ba2 31248cg2 13888t2 |
Quadratic twists by: -4 8 -3 |