Atkin-Lehner |
2- 3+ 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
15450x |
Isogeny class |
Conductor |
15450 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-579375000 = -1 · 23 · 32 · 57 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -3 5 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-438,3531] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:77:1] |
Generators of the group modulo torsion |
j |
-594823321/37080 |
j-invariant |
L |
6.2828618955149 |
L(r)(E,1)/r! |
Ω |
1.6098562708261 |
Real period |
R |
0.16261446258106 |
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 |
123600bs1 46350p1 3090e1 |
Quadratic twists by: -4 -3 5 |