Atkin-Lehner |
2- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
64220h |
Isogeny class |
Conductor |
64220 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
139398243920 = 24 · 5 · 136 · 192 |
Discriminant |
Eigenvalues |
2- 0 5- 2 4 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1352,-6591] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:77:1] |
Generators of the group modulo torsion |
j |
3538944/1805 |
j-invariant |
L |
7.8958714220509 |
L(r)(E,1)/r! |
Ω |
0.83133258749881 |
Real period |
R |
3.1659496814395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000462 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
380a1 |
Quadratic twists by: 13 |