Atkin-Lehner |
2+ 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
43680l |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
130560 |
Modular degree for the optimal curve |
Δ |
2299752000 = 26 · 35 · 53 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -6 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-70866,-7284816] |
[a1,a2,a3,a4,a6] |
j |
614983729942899136/35933625 |
j-invariant |
L |
1.4630513520248 |
L(r)(E,1)/r! |
Ω |
0.29261027044281 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43680bh1 87360bc1 |
Quadratic twists by: -4 8 |