Atkin-Lehner |
2+ 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
18240f |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-100173130870947840 = -1 · 217 · 32 · 5 · 198 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-166081,-30119999] |
[a1,a2,a3,a4,a6] |
j |
-3865238121540962/764260336845 |
j-invariant |
L |
0.93599253269557 |
L(r)(E,1)/r! |
Ω |
0.11699906658695 |
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 |
18240ch6 2280i6 54720cb5 91200do5 |
Quadratic twists by: -4 8 -3 5 |