Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111600el |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
-148104806400000000 = -1 · 224 · 36 · 58 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-381675,92628250] |
[a1,a2,a3,a4,a6] |
Generators |
[309:2048:1] |
Generators of the group modulo torsion |
j |
-131794519969/3174400 |
j-invariant |
L |
6.0106790496742 |
L(r)(E,1)/r! |
Ω |
0.32515472238895 |
Real period |
R |
2.3106995829147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973697 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13950cq1 12400q1 22320by1 |
Quadratic twists by: -4 -3 5 |