Atkin-Lehner |
2+ 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992bz |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
7.1263610557087E+20 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 2 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12550284,17064824688] |
[a1,a2,a3,a4,a6] |
Generators |
[1894:9424:1] |
Generators of the group modulo torsion |
j |
4575904097608151172/14916274366567 |
j-invariant |
L |
9.4627537465856 |
L(r)(E,1)/r! |
Ω |
0.16128500543547 |
Real period |
R |
2.4446252880885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000081939 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124992fv2 15624k2 13888g2 |
Quadratic twists by: -4 8 -3 |