Atkin-Lehner |
2+ 3- 5+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
20010j |
Isogeny class |
Conductor |
20010 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-9724860 = -1 · 22 · 36 · 5 · 23 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,51,52] |
[a1,a2,a3,a4,a6] |
Generators |
[5:18:1] |
Generators of the group modulo torsion |
j |
15087533111/9724860 |
j-invariant |
L |
4.7622024937218 |
L(r)(E,1)/r! |
Ω |
1.4332760637858 |
Real period |
R |
1.1075332040694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60030bt1 100050bw1 |
Quadratic twists by: -3 5 |