Atkin-Lehner |
3+ 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
63897f |
Isogeny class |
Conductor |
63897 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1641600 |
Modular degree for the optimal curve |
Δ |
-2373329617328509299 = -1 · 38 · 1910 · 59 |
Discriminant |
Eigenvalues |
2 3+ -1 1 -2 -6 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-825366,298255295] |
[a1,a2,a3,a4,a6] |
j |
-10142101504/387099 |
j-invariant |
L |
0.51318065745238 |
L(r)(E,1)/r! |
Ω |
0.25659032781869 |
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 |
63897j1 |
Quadratic twists by: -19 |