Atkin-Lehner |
2+ 3- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
34122k |
Isogeny class |
Conductor |
34122 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-28488061438848 = -1 · 27 · 35 · 117 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11- 4 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-37271,-2784454] |
[a1,a2,a3,a4,a6] |
Generators |
[230:792:1] |
Generators of the group modulo torsion |
j |
-3231945186625/16080768 |
j-invariant |
L |
5.901172350891 |
L(r)(E,1)/r! |
Ω |
0.17175087102608 |
Real period |
R |
3.4358907850862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102366bk1 3102j1 |
Quadratic twists by: -3 -11 |