Atkin-Lehner |
2+ 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
52200be |
Isogeny class |
Conductor |
52200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-18265824000 = -1 · 28 · 39 · 53 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -1 -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,60,6500] |
[a1,a2,a3,a4,a6] |
Generators |
[10:-90:1] [-14:54:1] |
Generators of the group modulo torsion |
j |
1024/783 |
j-invariant |
L |
9.08820132663 |
L(r)(E,1)/r! |
Ω |
0.95648908276263 |
Real period |
R |
0.29692580561075 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104400ce1 17400bh1 52200ck1 |
Quadratic twists by: -4 -3 5 |