Atkin-Lehner |
2+ 3- 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
98880y |
Isogeny class |
Conductor |
98880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1770272288931840000 = -1 · 223 · 3 · 54 · 1034 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-320865,94718463] |
[a1,a2,a3,a4,a6] |
Generators |
[6611:535680:1] |
Generators of the group modulo torsion |
j |
-13936450738079449/6753052860000 |
j-invariant |
L |
9.2249823643858 |
L(r)(E,1)/r! |
Ω |
0.24698960281164 |
Real period |
R |
4.6687098620894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009262 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98880bm3 3090a4 |
Quadratic twists by: -4 8 |