Atkin-Lehner |
2+ 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
16170b |
Isogeny class |
Conductor |
16170 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3769920 |
Modular degree for the optimal curve |
Δ |
-6.4202863470813E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11+ 0 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10080648,-122533933248] |
[a1,a2,a3,a4,a6] |
j |
-401059427678785561/22728668688000000 |
j-invariant |
L |
0.1321546915351 |
L(r)(E,1)/r! |
Ω |
0.033038672883776 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129360gf1 48510eb1 80850fo1 16170x1 |
Quadratic twists by: -4 -3 5 -7 |