Atkin-Lehner |
2+ 3- 11+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
63954i |
Isogeny class |
Conductor |
63954 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
282624 |
Modular degree for the optimal curve |
Δ |
26112404002212 = 22 · 39 · 11 · 174 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -4 -2 11+ 0 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18369,-921591] |
[a1,a2,a3,a4,a6] |
Generators |
[240:-3027:1] |
Generators of the group modulo torsion |
j |
940299110504209/35819484228 |
j-invariant |
L |
2.3611180481149 |
L(r)(E,1)/r! |
Ω |
0.41104989698307 |
Real period |
R |
0.71801442644073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997811 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21318s1 |
Quadratic twists by: -3 |