Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
17640f |
Isogeny class |
Conductor |
17640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
113846584320 = 210 · 33 · 5 · 77 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 -6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1323,8918] |
[a1,a2,a3,a4,a6] |
j |
78732/35 |
j-invariant |
L |
1.8921191986846 |
L(r)(E,1)/r! |
Ω |
0.9460595993423 |
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 |
35280i1 17640bv1 88200ey1 2520c1 |
Quadratic twists by: -4 -3 5 -7 |