Atkin-Lehner |
2+ 3- 5+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
71760n |
Isogeny class |
Conductor |
71760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-9687600000000 = -1 · 210 · 34 · 58 · 13 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4504,-92796] |
[a1,a2,a3,a4,a6] |
Generators |
[22:132:1] |
Generators of the group modulo torsion |
j |
9865576607324/9460546875 |
j-invariant |
L |
7.8737909168293 |
L(r)(E,1)/r! |
Ω |
0.39671104720602 |
Real period |
R |
2.4809590545056 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000157 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35880m3 |
Quadratic twists by: -4 |