Atkin-Lehner |
2+ 3- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
65598j |
Isogeny class |
Conductor |
65598 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-199549116 = -1 · 22 · 33 · 133 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 1 4 -3 13- 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-163,1034] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:44:1] |
Generators of the group modulo torsion |
j |
-564488161/237276 |
j-invariant |
L |
7.5390960197164 |
L(r)(E,1)/r! |
Ω |
1.6737096304002 |
Real period |
R |
0.25024571774673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000069 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65598bf1 |
Quadratic twists by: 29 |