Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
39600bh |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
27016762781250000 = 24 · 310 · 59 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-768450,259160875] |
[a1,a2,a3,a4,a6] |
Generators |
[-585:22550:1] |
Generators of the group modulo torsion |
j |
275361373935616/148240125 |
j-invariant |
L |
5.4585559172503 |
L(r)(E,1)/r! |
Ω |
0.37044810006865 |
Real period |
R |
3.6837521344009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19800bf1 13200t1 7920i1 |
Quadratic twists by: -4 -3 5 |