Atkin-Lehner |
2- 3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17160l |
Isogeny class |
Conductor |
17160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1198080 |
Modular degree for the optimal curve |
Δ |
-3.4382859265353E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1538696,8952029820] |
[a1,a2,a3,a4,a6] |
j |
-393443624385770851876/33577011001321734375 |
j-invariant |
L |
0.19149035460998 |
L(r)(E,1)/r! |
Ω |
0.095745177304988 |
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 |
34320s1 51480v1 85800w1 |
Quadratic twists by: -4 -3 5 |