Atkin-Lehner |
2+ 3- 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
116280l |
Isogeny class |
Conductor |
116280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
-17179672320 = -1 · 28 · 37 · 5 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 0 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,537,-4102] |
[a1,a2,a3,a4,a6] |
Generators |
[11:56:1] |
Generators of the group modulo torsion |
j |
91765424/92055 |
j-invariant |
L |
7.1704527319868 |
L(r)(E,1)/r! |
Ω |
0.6700995698768 |
Real period |
R |
2.6751444956984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039445 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38760r1 |
Quadratic twists by: -3 |