Atkin-Lehner |
2+ 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
48510bg |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
544320 |
Modular degree for the optimal curve |
Δ |
71597832262387200 = 29 · 36 · 52 · 78 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ -1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-130104,12702528] |
[a1,a2,a3,a4,a6] |
Generators |
[37:2799:1] |
Generators of the group modulo torsion |
j |
57954303169/17036800 |
j-invariant |
L |
4.7721022232431 |
L(r)(E,1)/r! |
Ω |
0.32134991054203 |
Real period |
R |
2.4750290709393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000066 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5390u1 48510o1 |
Quadratic twists by: -3 -7 |