Atkin-Lehner |
2+ 3- 7- 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
116298j |
Isogeny class |
Conductor |
116298 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
953344 |
Modular degree for the optimal curve |
Δ |
-2766241459642752 = -1 · 27 · 37 · 77 · 132 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 13+ 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,27999,-1782275] |
[a1,a2,a3,a4,a6] |
Generators |
[173:-2953:1] |
Generators of the group modulo torsion |
j |
3329776013228783/3794569903488 |
j-invariant |
L |
6.8347484546198 |
L(r)(E,1)/r! |
Ω |
0.24438737129026 |
Real period |
R |
0.49940829033762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022172 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38766x1 |
Quadratic twists by: -3 |