Atkin-Lehner |
7+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
48139g |
Isogeny class |
Conductor |
48139 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
114048 |
Modular degree for the optimal curve |
Δ |
52362810549413 = 7 · 133 · 237 |
Discriminant |
Eigenvalues |
0 -2 0 7+ 3 13- 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-17633,-837177] |
[a1,a2,a3,a4,a6] |
Generators |
[-77:264:1] |
Generators of the group modulo torsion |
j |
4096000000/353717 |
j-invariant |
L |
2.8703436247273 |
L(r)(E,1)/r! |
Ω |
0.41658192633235 |
Real period |
R |
0.57418550095261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2093h1 |
Quadratic twists by: -23 |