Atkin-Lehner |
2+ 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
16170h |
Isogeny class |
Conductor |
16170 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10725120 |
Modular degree for the optimal curve |
Δ |
-8.0721466358255E+26 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11+ 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-278917188,-2254692975408] |
[a1,a2,a3,a4,a6] |
j |
-59465789423385795028207/20003531867239219200 |
j-invariant |
L |
0.90810334911183 |
L(r)(E,1)/r! |
Ω |
0.018162066982237 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360gz1 48510el1 80850gi1 16170bb1 |
Quadratic twists by: -4 -3 5 -7 |