Atkin-Lehner |
2- 5- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
100510n |
Isogeny class |
Conductor |
100510 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
804080000 = 27 · 54 · 19 · 232 |
Discriminant |
Eigenvalues |
2- -2 5- -4 -3 -5 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-310,1572] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-22:1] [-12:66:1] |
Generators of the group modulo torsion |
j |
6229320529/1520000 |
j-invariant |
L |
10.590892306449 |
L(r)(E,1)/r! |
Ω |
1.4927368511098 |
Real period |
R |
0.25339104712355 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000506 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100510k1 |
Quadratic twists by: -23 |