Atkin-Lehner |
3- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
48825x |
Isogeny class |
Conductor |
48825 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
718310909925 = 39 · 52 · 72 · 313 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ 3 -2 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2460,23296] |
[a1,a2,a3,a4,a6] |
Generators |
[106:976:1] |
Generators of the group modulo torsion |
j |
90336133120/39413493 |
j-invariant |
L |
4.3105588302505 |
L(r)(E,1)/r! |
Ω |
0.81305582183141 |
Real period |
R |
0.44180636336171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16275i1 48825bx1 |
Quadratic twists by: -3 5 |