Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
18150c |
Isogeny class |
Conductor |
18150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
3581133055706250000 = 24 · 35 · 58 · 119 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11+ 0 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4167000,-3274506000] |
[a1,a2,a3,a4,a6] |
Generators |
[67177480:-4619604340:12167] |
Generators of the group modulo torsion |
j |
217190179331/97200 |
j-invariant |
L |
2.7005867023984 |
L(r)(E,1)/r! |
Ω |
0.10567088166934 |
Real period |
R |
12.778291709768 |
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 |
54450fb1 3630x1 18150bs1 |
Quadratic twists by: -3 5 -11 |