Atkin-Lehner |
2- 3- 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59280ca |
Isogeny class |
Conductor |
59280 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-2106088873200 = -1 · 24 · 310 · 52 · 13 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 2 13+ 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-110170,14038343] |
[a1,a2,a3,a4,a6] |
Generators |
[71:2565:1] |
Generators of the group modulo torsion |
j |
-9242675799865044736/131630554575 |
j-invariant |
L |
7.2597502065995 |
L(r)(E,1)/r! |
Ω |
0.75351483451877 |
Real period |
R |
0.16057525510327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14820d1 |
Quadratic twists by: -4 |