Atkin-Lehner |
2+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27200bi |
Isogeny class |
Conductor |
27200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15872 |
Modular degree for the optimal curve |
Δ |
-69632000 = -1 · 215 · 53 · 17 |
Discriminant |
Eigenvalues |
2+ -3 5- -4 -6 1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,20,400] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:8:1] [10:40:1] |
Generators of the group modulo torsion |
j |
216/17 |
j-invariant |
L |
4.3937632885497 |
L(r)(E,1)/r! |
Ω |
1.4904739012373 |
Real period |
R |
0.36848710374098 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27200bh1 13600i1 27200bo1 |
Quadratic twists by: -4 8 5 |