Atkin-Lehner |
2+ 5+ 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
123970d |
Isogeny class |
Conductor |
123970 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
116640 |
Modular degree for the optimal curve |
Δ |
-52464104000 = -1 · 26 · 53 · 72 · 11 · 233 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 11+ -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,367,10837] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:95:1] |
Generators of the group modulo torsion |
j |
111090137879/1070696000 |
j-invariant |
L |
2.0342884313617 |
L(r)(E,1)/r! |
Ω |
0.82410194407365 |
Real period |
R |
0.41141521844751 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999721265 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123970k1 |
Quadratic twists by: -7 |