Atkin-Lehner |
2+ 3- 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
71760l |
Isogeny class |
Conductor |
71760 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
51200 |
Modular degree for the optimal curve |
Δ |
9445410000 = 24 · 35 · 54 · 132 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -4 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1971,-34020] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:6:1] [72:450:1] |
Generators of the group modulo torsion |
j |
52952189937664/590338125 |
j-invariant |
L |
11.045178203059 |
L(r)(E,1)/r! |
Ω |
0.7169718666422 |
Real period |
R |
3.0810632095716 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35880i1 |
Quadratic twists by: -4 |