Atkin-Lehner |
2- 3- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
48144s |
Isogeny class |
Conductor |
48144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-20798208 = -1 · 28 · 34 · 17 · 59 |
Discriminant |
Eigenvalues |
2- 3- -2 2 -1 -4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,51,-153] |
[a1,a2,a3,a4,a6] |
Generators |
[3:6:1] |
Generators of the group modulo torsion |
j |
56188928/81243 |
j-invariant |
L |
6.2569120010144 |
L(r)(E,1)/r! |
Ω |
1.143989615663 |
Real period |
R |
0.68367228986838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12036a1 |
Quadratic twists by: -4 |