Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200bx |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
1044839250000 = 24 · 38 · 56 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5983,-173212] |
[a1,a2,a3,a4,a6] |
Generators |
[92:252:1] |
Generators of the group modulo torsion |
j |
94757435392/4179357 |
j-invariant |
L |
9.9988966621188 |
L(r)(E,1)/r! |
Ω |
0.54431030363748 |
Real period |
R |
2.2962307910555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029313 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54600d1 4368d1 |
Quadratic twists by: -4 5 |