Atkin-Lehner |
3- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
48825w |
Isogeny class |
Conductor |
48825 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-48651762796875 = -1 · 315 · 56 · 7 · 31 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ 0 -5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,5100,304906] |
[a1,a2,a3,a4,a6] |
Generators |
[244:4009:1] |
Generators of the group modulo torsion |
j |
1287913472/4271211 |
j-invariant |
L |
3.8246595218407 |
L(r)(E,1)/r! |
Ω |
0.44962142241974 |
Real period |
R |
2.1265999189106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16275f1 1953g1 |
Quadratic twists by: -3 5 |