Atkin-Lehner |
2+ 3+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680d |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-10510617600000000 = -1 · 216 · 32 · 58 · 74 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26241,-5188095] |
[a1,a2,a3,a4,a6] |
Generators |
[2624:134113:1] |
Generators of the group modulo torsion |
j |
-30493092792964/160379296875 |
j-invariant |
L |
4.0341150160014 |
L(r)(E,1)/r! |
Ω |
0.16889730003916 |
Real period |
R |
5.9712544665812 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999677552 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680fo3 15960i4 |
Quadratic twists by: -4 8 |