Atkin-Lehner |
2- 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
51156f |
Isogeny class |
Conductor |
51156 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
177408 |
Modular degree for the optimal curve |
Δ |
280796907896064 = 28 · 38 · 78 · 29 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 0 3 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16464,-105644] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:841:1] |
Generators of the group modulo torsion |
j |
458752/261 |
j-invariant |
L |
4.5981144603736 |
L(r)(E,1)/r! |
Ω |
0.45551950710768 |
Real period |
R |
5.0471103746184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000098 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17052j1 51156r1 |
Quadratic twists by: -3 -7 |