Atkin-Lehner |
2+ 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
116928cd |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1435248372547584 = 216 · 312 · 72 · 292 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28236,112880] |
[a1,a2,a3,a4,a6] |
Generators |
[173:637:1] |
Generators of the group modulo torsion |
j |
52110563908/30041361 |
j-invariant |
L |
7.3594420399978 |
L(r)(E,1)/r! |
Ω |
0.40795977127151 |
Real period |
R |
4.5099066807576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000065558 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
116928dn2 14616p2 38976k2 |
Quadratic twists by: -4 8 -3 |