Atkin-Lehner |
2+ 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
34720k |
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 |
[48:240:1] |
Generators of the group modulo torsion |
j |
19162771776/168175 |
j-invariant |
L |
4.6846389659236 |
L(r)(E,1)/r! |
Ω |
0.87405408672388 |
Real period |
R |
2.6798335692717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34720n2 69440ci1 |
Quadratic twists by: -4 8 |