Atkin-Lehner |
2- 3- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
27888bi |
Isogeny class |
Conductor |
27888 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
69888 |
Modular degree for the optimal curve |
Δ |
145727963136 = 214 · 37 · 72 · 83 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 2 2 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-60432,-5738220] |
[a1,a2,a3,a4,a6] |
j |
5958978974685073/35578116 |
j-invariant |
L |
4.2629516327516 |
L(r)(E,1)/r! |
Ω |
0.30449654519657 |
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 |
3486h1 111552cs1 83664ci1 |
Quadratic twists by: -4 8 -3 |