Atkin-Lehner |
2- 3- 5+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
104550ch |
Isogeny class |
Conductor |
104550 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
141142500000000 = 28 · 34 · 510 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-225688,41244992] |
[a1,a2,a3,a4,a6] |
j |
81363422790335161/9033120000 |
j-invariant |
L |
8.9320367835501 |
L(r)(E,1)/r! |
Ω |
0.55825230115961 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20910d1 |
Quadratic twists by: 5 |