Atkin-Lehner |
3+ 5- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
19635k |
Isogeny class |
Conductor |
19635 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
699742803375 = 33 · 53 · 72 · 114 · 172 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ 11- 0 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-17700,-912858] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:66:1] |
Generators of the group modulo torsion |
j |
613260573399028801/699742803375 |
j-invariant |
L |
2.6612700619432 |
L(r)(E,1)/r! |
Ω |
0.41393854055975 |
Real period |
R |
0.53576191495007 |
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 |
58905t2 98175bk2 |
Quadratic twists by: -3 5 |