Atkin-Lehner |
2- 3- 29- |
Signs for the Atkin-Lehner involutions |
Class |
60552w |
Isogeny class |
Conductor |
60552 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
723840 |
Modular degree for the optimal curve |
Δ |
-280073959717300992 = -1 · 28 · 37 · 298 |
Discriminant |
Eigenvalues |
2- 3- 0 1 2 -2 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1463340,681818884] |
[a1,a2,a3,a4,a6] |
j |
-3712000/3 |
j-invariant |
L |
3.6776674505133 |
L(r)(E,1)/r! |
Ω |
0.30647228815157 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121104u1 20184i1 60552c1 |
Quadratic twists by: -4 -3 29 |