Atkin-Lehner |
2+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
63536b |
Isogeny class |
Conductor |
63536 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
47232 |
Modular degree for the optimal curve |
Δ |
-2935871488 = -1 · 211 · 11 · 194 |
Discriminant |
Eigenvalues |
2+ 2 0 -2 11+ -5 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3008,-62560] |
[a1,a2,a3,a4,a6] |
Generators |
[754:20634:1] |
Generators of the group modulo torsion |
j |
-11281250/11 |
j-invariant |
L |
7.7545951360603 |
L(r)(E,1)/r! |
Ω |
0.32230176044968 |
Real period |
R |
4.0100076427439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31768i1 63536d1 |
Quadratic twists by: -4 -19 |