Atkin-Lehner |
3+ 5+ 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
16995c |
Isogeny class |
Conductor |
16995 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-18570895365 = -1 · 3 · 5 · 11 · 1034 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,659,-496] |
[a1,a2,a3,a4,a6] |
Generators |
[3:37:1] |
Generators of the group modulo torsion |
j |
31647453212591/18570895365 |
j-invariant |
L |
2.3702793300193 |
L(r)(E,1)/r! |
Ω |
0.71980624945236 |
Real period |
R |
3.2929407487399 |
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 |
50985i3 84975k3 |
Quadratic twists by: -3 5 |