Atkin-Lehner |
2+ 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
16170f |
Isogeny class |
Conductor |
16170 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
382016250 = 2 · 34 · 54 · 73 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11+ -4 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-788,8142] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:102:1] [-1:95:1] |
Generators of the group modulo torsion |
j |
158077154143/1113750 |
j-invariant |
L |
4.3217322684998 |
L(r)(E,1)/r! |
Ω |
1.7010081847238 |
Real period |
R |
1.2703443485196 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360gu2 48510ei2 80850fy2 16170ba2 |
Quadratic twists by: -4 -3 5 -7 |