Atkin-Lehner |
2- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
105280w |
Isogeny class |
Conductor |
105280 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
-736960 = -1 · 26 · 5 · 72 · 47 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 4 1 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21,49] |
[a1,a2,a3,a4,a6] |
Generators |
[0:7:1] |
Generators of the group modulo torsion |
j |
-16777216/11515 |
j-invariant |
L |
3.9611447380409 |
L(r)(E,1)/r! |
Ω |
2.6266471932177 |
Real period |
R |
0.75403060151949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105280e1 26320k1 |
Quadratic twists by: -4 8 |