Atkin-Lehner |
2- 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
28336x |
Isogeny class |
Conductor |
28336 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
11751959296 = 28 · 73 · 11 · 233 |
Discriminant |
Eigenvalues |
2- -1 3 7+ 11- 5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8324,-289508] |
[a1,a2,a3,a4,a6] |
Generators |
[-18543141:468358:357911] |
Generators of the group modulo torsion |
j |
249190874485072/45906091 |
j-invariant |
L |
5.5460322859616 |
L(r)(E,1)/r! |
Ω |
0.4998238667485 |
Real period |
R |
11.095973311639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7084f1 113344ci1 |
Quadratic twists by: -4 8 |