Atkin-Lehner |
2- 3+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
120768cx |
Isogeny class |
Conductor |
120768 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-5935988736 = -1 · 220 · 32 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -3 3 -3 2 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,63,3681] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:48:1] [5:-64:1] |
Generators of the group modulo torsion |
j |
103823/22644 |
j-invariant |
L |
9.2507665852892 |
L(r)(E,1)/r! |
Ω |
1.0406232320379 |
Real period |
R |
1.1112050812987 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120768bu1 30192bh1 |
Quadratic twists by: -4 8 |