Atkin-Lehner |
2- 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
17100j |
Isogeny class |
Conductor |
17100 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
2337356250000 = 24 · 39 · 58 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 -6 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-145125,-21279375] |
[a1,a2,a3,a4,a6] |
Generators |
[1056:31671:1] [-1758:81:8] |
Generators of the group modulo torsion |
j |
2747761920/19 |
j-invariant |
L |
6.725451711908 |
L(r)(E,1)/r! |
Ω |
0.24460435027568 |
Real period |
R |
13.747612633071 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68400dr2 17100i1 17100d2 |
Quadratic twists by: -4 -3 5 |