Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200fd |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1517824000000 = 214 · 56 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11+ 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3100,30000] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:300:1] |
Generators of the group modulo torsion |
j |
12869712/5929 |
j-invariant |
L |
6.2612946593042 |
L(r)(E,1)/r! |
Ω |
0.75930821117128 |
Real period |
R |
2.0615128460958 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000213058 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
123200k2 30800m2 4928s2 |
Quadratic twists by: -4 8 5 |