Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
18240bz |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-10626018532392960 = -1 · 226 · 35 · 5 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-121601,-17017695] |
[a1,a2,a3,a4,a6] |
Generators |
[5896:451877:1] |
Generators of the group modulo torsion |
j |
-758575480593601/40535043840 |
j-invariant |
L |
3.3171112619954 |
L(r)(E,1)/r! |
Ω |
0.12743461250617 |
Real period |
R |
6.5074770440309 |
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 |
18240bd1 4560bc1 54720fc1 91200ik1 |
Quadratic twists by: -4 8 -3 5 |