Atkin-Lehner |
3- 5+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
105525v |
Isogeny class |
Conductor |
105525 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
244362687800175 = 311 · 52 · 77 · 67 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 2 2 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19062,-673839] |
[a1,a2,a3,a4,a6] |
Generators |
[-72:603:1] |
Generators of the group modulo torsion |
j |
42031451330185/13408103583 |
j-invariant |
L |
8.551119372072 |
L(r)(E,1)/r! |
Ω |
0.41655096628938 |
Real period |
R |
0.73315667295505 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999957502 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35175y1 105525bm1 |
Quadratic twists by: -3 5 |