Atkin-Lehner |
2+ 5+ 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
44650b |
Isogeny class |
Conductor |
44650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
-21489152000000 = -1 · 215 · 56 · 19 · 472 |
Discriminant |
Eigenvalues |
2+ -1 5+ -3 -6 5 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-122475,16448125] |
[a1,a2,a3,a4,a6] |
Generators |
[225:475:1] |
Generators of the group modulo torsion |
j |
-13003239781926577/1375305728 |
j-invariant |
L |
2.5307813172818 |
L(r)(E,1)/r! |
Ω |
0.6523899306797 |
Real period |
R |
0.96981161045919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1786f1 |
Quadratic twists by: 5 |