Atkin-Lehner |
2- 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
12920n |
Isogeny class |
Conductor |
12920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-54910000 = -1 · 24 · 54 · 172 · 19 |
Discriminant |
Eigenvalues |
2- -2 5- -4 -4 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-135,658] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:35:1] [3:17:1] |
Generators of the group modulo torsion |
j |
-17132394496/3431875 |
j-invariant |
L |
4.6060147711814 |
L(r)(E,1)/r! |
Ω |
1.9061370985176 |
Real period |
R |
0.60410329020443 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25840e1 103360d1 116280t1 64600k1 |
Quadratic twists by: -4 8 -3 5 |