Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
119952gb |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15040512 |
Modular degree for the optimal curve |
Δ |
-1.8517319842764E+24 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 3 -3 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,25152288,-43920853648] |
[a1,a2,a3,a4,a6] |
Generators |
[3379399592354394586843976656091:1812183582338846622705637174660659:11755622154231423482666651] |
Generators of the group modulo torsion |
j |
5009339741732864/5271114033171 |
j-invariant |
L |
8.6815379054926 |
L(r)(E,1)/r! |
Ω |
0.045200362238285 |
Real period |
R |
48.016970858141 |
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 |
7497k1 39984bm1 17136bj1 |
Quadratic twists by: -4 -3 -7 |