Atkin-Lehner |
3- 29+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
15921c |
Isogeny class |
Conductor |
15921 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9920 |
Modular degree for the optimal curve |
Δ |
-313373043 = -1 · 311 · 29 · 61 |
Discriminant |
Eigenvalues |
1 3- 0 2 -2 1 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7047,229468] |
[a1,a2,a3,a4,a6] |
Generators |
[56:62:1] |
Generators of the group modulo torsion |
j |
-53093782176625/429867 |
j-invariant |
L |
5.9590720393164 |
L(r)(E,1)/r! |
Ω |
1.5451535131433 |
Real period |
R |
1.9283106787215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5307a1 |
Quadratic twists by: -3 |