Atkin-Lehner |
2- 5- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
60320r |
Isogeny class |
Conductor |
60320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
3498560 = 26 · 5 · 13 · 292 |
Discriminant |
Eigenvalues |
2- 0 5- 4 0 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-77,244] |
[a1,a2,a3,a4,a6] |
Generators |
[50:21:8] |
Generators of the group modulo torsion |
j |
788889024/54665 |
j-invariant |
L |
7.7989359206197 |
L(r)(E,1)/r! |
Ω |
2.4534026469791 |
Real period |
R |
3.1788242871745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000236 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60320e1 120640p2 |
Quadratic twists by: -4 8 |