Atkin-Lehner |
2- 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
32490bu |
Isogeny class |
Conductor |
32490 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
614425927680000 = 216 · 37 · 54 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -6 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21272,65819] |
[a1,a2,a3,a4,a6] |
Generators |
[237:2761:1] [-123:961:1] |
Generators of the group modulo torsion |
j |
212883113611/122880000 |
j-invariant |
L |
11.322347301796 |
L(r)(E,1)/r! |
Ω |
0.43721416254864 |
Real period |
R |
0.2023169555617 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10830k1 32490t1 |
Quadratic twists by: -3 -19 |