Atkin-Lehner |
2+ 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
124608bn |
Isogeny class |
Conductor |
124608 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
11319295021056 = 212 · 38 · 112 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7017,-160425] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:240:1] |
Generators of the group modulo torsion |
j |
9329966492608/2763499761 |
j-invariant |
L |
10.223295708024 |
L(r)(E,1)/r! |
Ω |
0.53351856250471 |
Real period |
R |
2.3952530472615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006989 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
124608f2 62304d1 |
Quadratic twists by: -4 8 |