Atkin-Lehner |
2- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128800ba |
Isogeny class |
Conductor |
128800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
2515625000000 = 26 · 512 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 6 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4325,-78500] |
[a1,a2,a3,a4,a6] |
Generators |
[1983:116:27] |
Generators of the group modulo torsion |
j |
8947094976/2515625 |
j-invariant |
L |
7.8655378039535 |
L(r)(E,1)/r! |
Ω |
0.60125031904056 |
Real period |
R |
6.5409842166482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000013954 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128800b1 25760a1 |
Quadratic twists by: -4 5 |