Atkin-Lehner |
2- 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
116928dn |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
16 |
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 |
[-315:185:1] |
Generators of the group modulo torsion |
j |
38123958498194/107882523 |
j-invariant |
L |
4.0736231122484 |
L(r)(E,1)/r! |
Ω |
0.20067692937137 |
Real period |
R |
5.0748523447665 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999926368 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116928cd4 29232h4 38976br4 |
Quadratic twists by: -4 8 -3 |