Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950ik |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-6747300 = -1 · 22 · 34 · 52 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 -3 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-148,692] |
[a1,a2,a3,a4,a6] |
Generators |
[8:2:1] |
Generators of the group modulo torsion |
j |
-292789945/5508 |
j-invariant |
L |
12.966257371065 |
L(r)(E,1)/r! |
Ω |
2.3706934171706 |
Real period |
R |
0.68367429916195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000067073 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124950bx1 124950en1 |
Quadratic twists by: 5 -7 |