Atkin-Lehner |
2- 5- 23+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
86480g |
Isogeny class |
Conductor |
86480 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
56832 |
Modular degree for the optimal curve |
Δ |
16835234560 = 28 · 5 · 234 · 47 |
Discriminant |
Eigenvalues |
2- -1 5- 5 3 3 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-660,2140] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:68:1] |
Generators of the group modulo torsion |
j |
124386546256/65762635 |
j-invariant |
L |
7.8503307550924 |
L(r)(E,1)/r! |
Ω |
1.0824206542715 |
Real period |
R |
3.6262846265846 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986335 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21620d1 |
Quadratic twists by: -4 |