Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
43680h |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
1834560 = 26 · 32 · 5 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 13+ -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-190,1072] |
[a1,a2,a3,a4,a6] |
Generators |
[7:6:1] |
Generators of the group modulo torsion |
j |
11914842304/28665 |
j-invariant |
L |
5.9109885865753 |
L(r)(E,1)/r! |
Ω |
2.6466585766431 |
Real period |
R |
1.1166889146092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999824 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43680v1 87360gl1 |
Quadratic twists by: -4 8 |