Atkin-Lehner |
2- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57200bl |
Isogeny class |
Conductor |
57200 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
47520 |
Modular degree for the optimal curve |
Δ |
-197676393200 = -1 · 24 · 52 · 113 · 135 |
Discriminant |
Eigenvalues |
2- 0 5+ -3 11- 13+ -8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1355,9435] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:33:1] |
Generators of the group modulo torsion |
j |
687830780160/494190983 |
j-invariant |
L |
3.9482993903979 |
L(r)(E,1)/r! |
Ω |
0.6386630791121 |
Real period |
R |
2.0607106310329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000189 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14300a1 57200cj1 |
Quadratic twists by: -4 5 |