Atkin-Lehner |
2+ 3- 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40698k |
Isogeny class |
Conductor |
40698 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-385576270632 = -1 · 23 · 310 · 7 · 17 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 2 4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10206,400540] |
[a1,a2,a3,a4,a6] |
Generators |
[83:305:1] |
Generators of the group modulo torsion |
j |
-161282338400737/528911208 |
j-invariant |
L |
5.7751574826309 |
L(r)(E,1)/r! |
Ω |
0.95462223589143 |
Real period |
R |
3.0248391800962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13566p1 |
Quadratic twists by: -3 |