Atkin-Lehner |
3- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
48825bx |
Isogeny class |
Conductor |
48825 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
3115722364453125 = 37 · 58 · 76 · 31 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 3 2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4246500,3368175156] |
[a1,a2,a3,a4,a6] |
Generators |
[500:37012:1] |
Generators of the group modulo torsion |
j |
29739217310187520/10941357 |
j-invariant |
L |
5.2056033505266 |
L(r)(E,1)/r! |
Ω |
0.3636096174234 |
Real period |
R |
1.7895577774442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
16275bc2 48825x2 |
Quadratic twists by: -3 5 |