Atkin-Lehner |
2- 3- 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
28644s |
Isogeny class |
Conductor |
28644 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
23328 |
Modular degree for the optimal curve |
Δ |
-23303727216 = -1 · 24 · 39 · 7 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11- 1 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-302,-7719] |
[a1,a2,a3,a4,a6] |
Generators |
[46:-279:1] |
Generators of the group modulo torsion |
j |
-191012516608/1456482951 |
j-invariant |
L |
5.7989365041747 |
L(r)(E,1)/r! |
Ω |
0.50568225580647 |
Real period |
R |
0.21236203526463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114576ba1 85932bf1 |
Quadratic twists by: -4 -3 |