Atkin-Lehner |
2- 3- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
45504bj |
Isogeny class |
Conductor |
45504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
943570944 = 214 · 36 · 79 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 6 1 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-252,-432] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:8:1] |
Generators of the group modulo torsion |
j |
148176/79 |
j-invariant |
L |
6.9630370960955 |
L(r)(E,1)/r! |
Ω |
1.2735539147672 |
Real period |
R |
1.3668516533481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45504w1 11376k1 5056o1 |
Quadratic twists by: -4 8 -3 |