Atkin-Lehner |
2+ 5+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
5890b |
Isogeny class |
Conductor |
5890 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-21078212423750 = -1 · 2 · 54 · 19 · 316 |
Discriminant |
Eigenvalues |
2+ 1 5+ -1 0 5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,5651,148966] |
[a1,a2,a3,a4,a6] |
Generators |
[1054214:57937559:343] |
Generators of the group modulo torsion |
j |
19962278260435511/21078212423750 |
j-invariant |
L |
3.1113533950579 |
L(r)(E,1)/r! |
Ω |
0.45091988070186 |
Real period |
R |
5.1750103425497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
47120g1 53010bu1 29450p1 111910j1 |
Quadratic twists by: -4 -3 5 -19 |