Atkin-Lehner |
2- 3- 5- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
17430bk |
Isogeny class |
Conductor |
17430 |
Conductor |
∏ cp |
588 |
Product of Tamagawa factors cp |
Δ |
3690385825392000 = 27 · 314 · 53 · 7 · 832 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-601115,179310417] |
[a1,a2,a3,a4,a6] |
Generators |
[634:-7607:1] |
Generators of the group modulo torsion |
j |
24021297020609669939761/3690385825392000 |
j-invariant |
L |
9.2374100531514 |
L(r)(E,1)/r! |
Ω |
0.42812309118623 |
Real period |
R |
0.14677910503959 |
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 |
52290l2 87150j2 122010bm2 |
Quadratic twists by: -3 5 -7 |