Atkin-Lehner |
3- 5- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
14805j |
Isogeny class |
Conductor |
14805 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-176389741344475575 = -1 · 312 · 52 · 710 · 47 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 2 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1361147,611905394] |
[a1,a2,a3,a4,a6] |
Generators |
[678:268:1] |
Generators of the group modulo torsion |
j |
-382570056949462495849/241961236412175 |
j-invariant |
L |
3.4170404710701 |
L(r)(E,1)/r! |
Ω |
0.31752372189838 |
Real period |
R |
2.6903820371598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4935c1 74025r1 103635w1 |
Quadratic twists by: -3 5 -7 |