Atkin-Lehner |
2+ 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
16170l |
Isogeny class |
Conductor |
16170 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
47040 |
Modular degree for the optimal curve |
Δ |
-9697073971200 = -1 · 214 · 3 · 52 · 72 · 115 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11+ 0 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,4273,106149] |
[a1,a2,a3,a4,a6] |
Generators |
[78:921:1] |
Generators of the group modulo torsion |
j |
176022219667511/197899468800 |
j-invariant |
L |
3.1601418605406 |
L(r)(E,1)/r! |
Ω |
0.48352799619996 |
Real period |
R |
1.6338980810708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129360hw1 48510de1 80850fr1 16170s1 |
Quadratic twists by: -4 -3 5 -7 |