Atkin-Lehner |
2- 3+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
28896l |
Isogeny class |
Conductor |
28896 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-2132763255581833728 = -1 · 29 · 324 · 73 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19824,-70265052] |
[a1,a2,a3,a4,a6] |
Generators |
[67071:-3329144:27] |
Generators of the group modulo torsion |
j |
-1682865958854536/4165553233558269 |
j-invariant |
L |
3.1257126130704 |
L(r)(E,1)/r! |
Ω |
0.11813045606877 |
Real period |
R |
8.8199456687975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28896h2 57792bs3 86688s2 |
Quadratic twists by: -4 8 -3 |