Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200fd |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-104946688000000 = -1 · 216 · 56 · 7 · 114 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11+ 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10900,226000] |
[a1,a2,a3,a4,a6] |
Generators |
[16:636:1] |
Generators of the group modulo torsion |
j |
139863132/102487 |
j-invariant |
L |
6.2612946593042 |
L(r)(E,1)/r! |
Ω |
0.37965410558564 |
Real period |
R |
4.1230256921916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000213058 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200k3 30800m3 4928s4 |
Quadratic twists by: -4 8 5 |