Atkin-Lehner |
2+ 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
18450i |
Isogeny class |
Conductor |
18450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
2364266601562500 = 22 · 310 · 512 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-34317,725841] |
[a1,a2,a3,a4,a6] |
j |
392383937161/207562500 |
j-invariant |
L |
1.6123281065115 |
L(r)(E,1)/r! |
Ω |
0.40308202662788 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6150bd1 3690p1 |
Quadratic twists by: -3 5 |