Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360cf |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
97820835840 = 215 · 38 · 5 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19521,1043199] |
[a1,a2,a3,a4,a6] |
Generators |
[90:153:1] |
Generators of the group modulo torsion |
j |
25107427013768/2985255 |
j-invariant |
L |
8.0463899380142 |
L(r)(E,1)/r! |
Ω |
1.024984344826 |
Real period |
R |
1.9625641057192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002107 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360a4 43680i4 |
Quadratic twists by: -4 8 |