Atkin-Lehner |
2+ 3- 5- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
71760u |
Isogeny class |
Conductor |
71760 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
214562400000000 = 211 · 3 · 58 · 132 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -2 13- 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16840,-464812] |
[a1,a2,a3,a4,a6] |
Generators |
[196:1950:1] |
Generators of the group modulo torsion |
j |
257896715141522/104766796875 |
j-invariant |
L |
8.2249461021362 |
L(r)(E,1)/r! |
Ω |
0.43421533276482 |
Real period |
R |
1.1838806523072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997685 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35880b2 |
Quadratic twists by: -4 |