Atkin-Lehner |
2- 3+ 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
96720bj |
Isogeny class |
Conductor |
96720 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
613765698624000000 = 212 · 310 · 56 · 132 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5022056,-4329982800] |
[a1,a2,a3,a4,a6] |
Generators |
[-41355900518:-8802596754:31855013] |
Generators of the group modulo torsion |
j |
3419861389855396904809/149845141265625 |
j-invariant |
L |
4.7505700785347 |
L(r)(E,1)/r! |
Ω |
0.10085102150262 |
Real period |
R |
11.776207145901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999961526 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6045j2 |
Quadratic twists by: -4 |