Atkin-Lehner |
2+ 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050bs |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
47616 |
Modular degree for the optimal curve |
Δ |
-17151750 = -1 · 2 · 34 · 53 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11- 0 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-420,3150] |
[a1,a2,a3,a4,a6] |
Generators |
[15:15:1] |
Generators of the group modulo torsion |
j |
-543739493/1134 |
j-invariant |
L |
3.8279848161962 |
L(r)(E,1)/r! |
Ω |
2.1947925296318 |
Real period |
R |
0.43603038105758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998015809 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050jd1 127050gu1 |
Quadratic twists by: 5 -11 |