Atkin-Lehner |
2- 3+ 5+ 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
116850bx |
Isogeny class |
Conductor |
116850 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-9546247710000000 = -1 · 27 · 36 · 57 · 19 · 413 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -3 -5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-74838,9144531] |
[a1,a2,a3,a4,a6] |
Generators |
[-299:2363:1] [-285:2867:1] |
Generators of the group modulo torsion |
j |
-2966679065391769/610959853440 |
j-invariant |
L |
15.037226628664 |
L(r)(E,1)/r! |
Ω |
0.39186173772342 |
Real period |
R |
0.22841551682313 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001764 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23370f1 |
Quadratic twists by: 5 |