Atkin-Lehner |
2+ 5+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
122200a |
Isogeny class |
Conductor |
122200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
577920 |
Modular degree for the optimal curve |
Δ |
-150998031308800 = -1 · 211 · 52 · 137 · 47 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 -6 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9805,-458130] |
[a1,a2,a3,a4,a6] |
Generators |
[2008908027002:143504388754472:393832837] |
Generators of the group modulo torsion |
j |
2036088003870/2949180299 |
j-invariant |
L |
6.6667636644043 |
L(r)(E,1)/r! |
Ω |
0.30664186042294 |
Real period |
R |
21.74120537623 |
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 |
122200bd1 |
Quadratic twists by: 5 |