Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
16170bt |
Isogeny class |
Conductor |
16170 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
1630615140 = 22 · 32 · 5 · 77 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-295,-295] |
[a1,a2,a3,a4,a6] |
Generators |
[55:364:1] |
Generators of the group modulo torsion |
j |
24137569/13860 |
j-invariant |
L |
6.8465802879482 |
L(r)(E,1)/r! |
Ω |
1.2512791903938 |
Real period |
R |
1.3679161973823 |
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 |
129360hq1 48510s1 80850co1 2310s1 |
Quadratic twists by: -4 -3 5 -7 |