Atkin-Lehner |
2- 5+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
100510k |
Isogeny class |
Conductor |
100510 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1483776 |
Modular degree for the optimal curve |
Δ |
119032697627120000 = 27 · 54 · 19 · 238 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 3 -5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-164001,-19454519] |
[a1,a2,a3,a4,a6] |
j |
6229320529/1520000 |
j-invariant |
L |
3.3804566710349 |
L(r)(E,1)/r! |
Ω |
0.24146119731455 |
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 |
100510n1 |
Quadratic twists by: -23 |