Atkin-Lehner |
3- 5+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
116025bf |
Isogeny class |
Conductor |
116025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
72515625 = 3 · 56 · 7 · 13 · 17 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-618801,-187410377] |
[a1,a2,a3,a4,a6] |
Generators |
[2913414140:50079223531:2744000] |
Generators of the group modulo torsion |
j |
1677087406638588673/4641 |
j-invariant |
L |
11.716011011541 |
L(r)(E,1)/r! |
Ω |
0.17022050986667 |
Real period |
R |
17.207108335897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999981122 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4641a3 |
Quadratic twists by: 5 |