Atkin-Lehner |
2- 3+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
10050x |
Isogeny class |
Conductor |
10050 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
3696 |
Modular degree for the optimal curve |
Δ |
10291200 = 211 · 3 · 52 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -2 1 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-443,3401] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-2:1] |
Generators of the group modulo torsion |
j |
384641511385/411648 |
j-invariant |
L |
4.9345448472296 |
L(r)(E,1)/r! |
Ω |
2.2769052978971 |
Real period |
R |
0.197019606624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80400cy1 30150bb1 10050o1 |
Quadratic twists by: -4 -3 5 |