Atkin-Lehner |
2+ 3- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116550bd |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
795749859843750 = 2 · 312 · 57 · 7 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-79317,-8470409] |
[a1,a2,a3,a4,a6] |
Generators |
[-175:254:1] [3822:61339:8] |
Generators of the group modulo torsion |
j |
4844824797961/69860070 |
j-invariant |
L |
9.0096053139233 |
L(r)(E,1)/r! |
Ω |
0.28473243668541 |
Real period |
R |
7.9105891691689 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999943445 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38850bu2 23310bn2 |
Quadratic twists by: -3 5 |