Atkin-Lehner |
2- 3+ 5- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17670r |
Isogeny class |
Conductor |
17670 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
102706875000000 = 26 · 32 · 510 · 19 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12540,227997] |
[a1,a2,a3,a4,a6] |
Generators |
[-93:821:1] |
Generators of the group modulo torsion |
j |
218081329522752961/102706875000000 |
j-invariant |
L |
7.2093455662316 |
L(r)(E,1)/r! |
Ω |
0.53299131989034 |
Real period |
R |
0.22543661585692 |
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 |
53010p2 88350bj2 |
Quadratic twists by: -3 5 |