Atkin-Lehner |
2- 3- 5- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17670z |
Isogeny class |
Conductor |
17670 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
1014180746760000 = 26 · 316 · 54 · 19 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-125653470,542127521412] |
[a1,a2,a3,a4,a6] |
Generators |
[6474:-2922:1] |
Generators of the group modulo torsion |
j |
219405328949022145572741216481/1014180746760000 |
j-invariant |
L |
9.398428913781 |
L(r)(E,1)/r! |
Ω |
0.23688820874563 |
Real period |
R |
0.41327637919853 |
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 |
53010k4 88350e4 |
Quadratic twists by: -3 5 |