Atkin-Lehner |
2+ 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18240d |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12800 |
Modular degree for the optimal curve |
Δ |
-22977146880 = -1 · 212 · 310 · 5 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -4 -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-521,-8439] |
[a1,a2,a3,a4,a6] |
Generators |
[33:96:1] |
Generators of the group modulo torsion |
j |
-3825694144/5609655 |
j-invariant |
L |
2.6885276559501 |
L(r)(E,1)/r! |
Ω |
0.47459832216923 |
Real period |
R |
2.8324243158527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18240bi1 9120k1 54720bw1 91200cv1 |
Quadratic twists by: -4 8 -3 5 |