Atkin-Lehner |
2+ 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
116928cd |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
10308335601844224 = 217 · 318 · 7 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-320556,69685040] |
[a1,a2,a3,a4,a6] |
Generators |
[117803:109915:343] |
Generators of the group modulo torsion |
j |
38123958498194/107882523 |
j-invariant |
L |
7.3594420399978 |
L(r)(E,1)/r! |
Ω |
0.40795977127151 |
Real period |
R |
9.0198133615151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000065558 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116928dn4 14616p4 38976k4 |
Quadratic twists by: -4 8 -3 |