Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
18150bh |
Isogeny class |
Conductor |
18150 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-18974736000000 = -1 · 210 · 34 · 56 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11- -3 1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,4474,175448] |
[a1,a2,a3,a4,a6] |
Generators |
[21:517:1] |
Generators of the group modulo torsion |
j |
43307231/82944 |
j-invariant |
L |
5.1046370842025 |
L(r)(E,1)/r! |
Ω |
0.47355485062499 |
Real period |
R |
0.44914166027665 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54450gd1 726g1 18150db1 |
Quadratic twists by: -3 5 -11 |