Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
75504cx |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-38252035820224512 = -1 · 224 · 32 · 117 · 13 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,10608,-9396972] |
[a1,a2,a3,a4,a6] |
Generators |
[93185640:3560470389:64000] |
Generators of the group modulo torsion |
j |
18191447/5271552 |
j-invariant |
L |
9.7257131766463 |
L(r)(E,1)/r! |
Ω |
0.17122997006811 |
Real period |
R |
14.199782273139 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002296 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9438v1 6864u1 |
Quadratic twists by: -4 -11 |