Atkin-Lehner |
2- 3- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
88920z |
Isogeny class |
Conductor |
88920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-109854635670000 = -1 · 24 · 36 · 54 · 133 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 13+ -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-53343,4768767] |
[a1,a2,a3,a4,a6] |
Generators |
[141:225:1] |
Generators of the group modulo torsion |
j |
-1439158115978496/9418264375 |
j-invariant |
L |
6.7009140225341 |
L(r)(E,1)/r! |
Ω |
0.59682785919176 |
Real period |
R |
1.4034436207768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013517 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9880f1 |
Quadratic twists by: -3 |