Atkin-Lehner |
2+ 3- 29- |
Signs for the Atkin-Lehner involutions |
Class |
60552k |
Isogeny class |
Conductor |
60552 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
197120 |
Modular degree for the optimal curve |
Δ |
-50393590966512 = -1 · 24 · 317 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 0 -5 1 -3 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21315,-1245521] |
[a1,a2,a3,a4,a6] |
Generators |
[1595:63423:1] |
Generators of the group modulo torsion |
j |
-3764768000/177147 |
j-invariant |
L |
4.0237717519325 |
L(r)(E,1)/r! |
Ω |
0.1970185311277 |
Real period |
R |
1.27645726038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000335 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121104y1 20184q1 60552z1 |
Quadratic twists by: -4 -3 29 |