Atkin-Lehner |
2- 3+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
60564b |
Isogeny class |
Conductor |
60564 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
73584 |
Modular degree for the optimal curve |
Δ |
-4189672893168 = -1 · 24 · 32 · 710 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -2 -2 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4002,-15651] |
[a1,a2,a3,a4,a6] |
Generators |
[90:1401:8] |
Generators of the group modulo torsion |
j |
1568000/927 |
j-invariant |
L |
4.6106754215876 |
L(r)(E,1)/r! |
Ω |
0.45656689431111 |
Real period |
R |
5.0492879345652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000116 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60564f1 |
Quadratic twists by: -7 |