Atkin-Lehner |
2- 5- 7- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
23870o |
Isogeny class |
Conductor |
23870 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
38135330710400 = 27 · 52 · 7 · 116 · 312 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 11+ -6 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4592160,3785769665] |
[a1,a2,a3,a4,a6] |
j |
10709637030942350035530241/38135330710400 |
j-invariant |
L |
6.0576718611066 |
L(r)(E,1)/r! |
Ω |
0.43269084722191 |
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 |
119350b2 |
Quadratic twists by: 5 |