Atkin-Lehner |
2- 13+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
81328g |
Isogeny class |
Conductor |
81328 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
4208215212032 = 214 · 134 · 17 · 232 |
Discriminant |
Eigenvalues |
2- -2 -4 0 6 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4800,79924] |
[a1,a2,a3,a4,a6] |
Generators |
[74:368:1] |
Generators of the group modulo torsion |
j |
2986606123201/1027396292 |
j-invariant |
L |
3.4592832521505 |
L(r)(E,1)/r! |
Ω |
0.71617498095821 |
Real period |
R |
1.207555186389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000485 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10166b1 |
Quadratic twists by: -4 |