Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
18150bj |
Isogeny class |
Conductor |
18150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
5846151300000000 = 28 · 3 · 58 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-68126,5765648] |
[a1,a2,a3,a4,a6] |
Generators |
[98:132:1] |
Generators of the group modulo torsion |
j |
1263214441/211200 |
j-invariant |
L |
3.7258980438813 |
L(r)(E,1)/r! |
Ω |
0.40698418348202 |
Real period |
R |
2.2887241047083 |
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 |
54450gg1 3630s1 1650t1 |
Quadratic twists by: -3 5 -11 |