Atkin-Lehner |
2- 3+ 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
94800bg |
Isogeny class |
Conductor |
94800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
163814400000000 = 216 · 34 · 58 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5460480008,-155306365321488] |
[a1,a2,a3,a4,a6] |
Generators |
[-491445977879175801559771100415680717901605842336995599343352:-28038611808821864593971222614291037455520368995178569:11519255095198951489875458438707504621818800144318767616] |
Generators of the group modulo torsion |
j |
281343057218179728015052801/2559600 |
j-invariant |
L |
6.0508391095553 |
L(r)(E,1)/r! |
Ω |
0.017562722904966 |
Real period |
R |
86.131847920326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999938616 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11850l4 18960w3 |
Quadratic twists by: -4 5 |