Atkin-Lehner |
2+ 3+ 11- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
63954b |
Isogeny class |
Conductor |
63954 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
1983085632 = 26 · 33 · 11 · 172 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ -4 4 11- 4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-384,-1856] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:35:1] |
Generators of the group modulo torsion |
j |
232268138523/73447616 |
j-invariant |
L |
4.1632661417939 |
L(r)(E,1)/r! |
Ω |
1.1052181338597 |
Real period |
R |
0.94172951354736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988954 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63954p1 |
Quadratic twists by: -3 |