Atkin-Lehner |
2- 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127600ba |
Isogeny class |
Conductor |
127600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8686080 |
Modular degree for the optimal curve |
Δ |
-3.42523641856E+22 |
Discriminant |
Eigenvalues |
2- -2 5+ 3 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12565008,19313619988] |
[a1,a2,a3,a4,a6] |
Generators |
[3002286:261226496:343] |
Generators of the group modulo torsion |
j |
-3427931074939043401/535193190400000 |
j-invariant |
L |
5.9431736481628 |
L(r)(E,1)/r! |
Ω |
0.11224845722579 |
Real period |
R |
6.6183244386221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999779956 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15950k1 25520r1 |
Quadratic twists by: -4 5 |