Atkin-Lehner |
2- 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
115150cy |
Isogeny class |
Conductor |
115150 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1370880 |
Modular degree for the optimal curve |
Δ |
-1935326050000000 = -1 · 27 · 58 · 77 · 47 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 0 0 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-956138,-359942108] |
[a1,a2,a3,a4,a6] |
Generators |
[1756:57230:1] |
Generators of the group modulo torsion |
j |
-2103474260785/42112 |
j-invariant |
L |
7.012286135038 |
L(r)(E,1)/r! |
Ω |
0.076337668263337 |
Real period |
R |
6.5613424407029 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999695257 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115150i1 16450s1 |
Quadratic twists by: 5 -7 |