Atkin-Lehner |
2+ 5+ 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
63550f |
Isogeny class |
Conductor |
63550 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
54432 |
Modular degree for the optimal curve |
Δ |
-15634316800 = -1 · 29 · 52 · 313 · 41 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 0 4 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-805,-10995] |
[a1,a2,a3,a4,a6] |
j |
-2312139509185/625372672 |
j-invariant |
L |
1.325534723202 |
L(r)(E,1)/r! |
Ω |
0.44184490750886 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63550bd1 |
Quadratic twists by: 5 |