Atkin-Lehner |
2+ 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
34720n |
Isogeny class |
Conductor |
34720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
688844800 = 212 · 52 · 7 · 312 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 2 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-892,10176] |
[a1,a2,a3,a4,a6] |
Generators |
[32:120:1] |
Generators of the group modulo torsion |
j |
19162771776/168175 |
j-invariant |
L |
5.9984275514809 |
L(r)(E,1)/r! |
Ω |
1.6188106931452 |
Real period |
R |
1.8527266890689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34720k2 69440cq1 |
Quadratic twists by: -4 8 |