Atkin-Lehner |
2+ 3- 5- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
18330m |
Isogeny class |
Conductor |
18330 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
82704960 = 26 · 32 · 5 · 13 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 2 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-138,-452] |
[a1,a2,a3,a4,a6] |
j |
287626699801/82704960 |
j-invariant |
L |
2.8494348477545 |
L(r)(E,1)/r! |
Ω |
1.4247174238773 |
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 |
54990bg1 91650cl1 |
Quadratic twists by: -3 5 |