Atkin-Lehner |
2- 3- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
53424bg |
Isogeny class |
Conductor |
53424 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-50474140416 = -1 · 28 · 312 · 7 · 53 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 3 2 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2064,37676] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:126:1] [-11:243:1] |
Generators of the group modulo torsion |
j |
-5210570752/270459 |
j-invariant |
L |
8.4602102819901 |
L(r)(E,1)/r! |
Ω |
1.1130635330849 |
Real period |
R |
0.95010415292076 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13356h1 17808n1 |
Quadratic twists by: -4 -3 |