Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
16170w |
Isogeny class |
Conductor |
16170 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
3010560 |
Modular degree for the optimal curve |
Δ |
3.9133173925067E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- -2 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-96027874,362063284916] |
[a1,a2,a3,a4,a6] |
j |
2426796094451411844127/969756530688000 |
j-invariant |
L |
1.8093686794048 |
L(r)(E,1)/r! |
Ω |
0.1130855424628 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360dy1 48510dy1 80850em1 16170q1 |
Quadratic twists by: -4 -3 5 -7 |