Atkin-Lehner |
2- 7+ 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
103376j |
Isogeny class |
Conductor |
103376 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
269723697152 = 216 · 73 · 132 · 71 |
Discriminant |
Eigenvalues |
2- 2 -4 7+ -4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7840,-263424] |
[a1,a2,a3,a4,a6] |
Generators |
[114:558:1] |
Generators of the group modulo torsion |
j |
13012697849761/65850512 |
j-invariant |
L |
4.4775124180118 |
L(r)(E,1)/r! |
Ω |
0.50751421584998 |
Real period |
R |
4.4112186999079 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000042789 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12922d1 |
Quadratic twists by: -4 |