Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
48510cl |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
907200 |
Modular degree for the optimal curve |
Δ |
-6350468287629312000 = -1 · 214 · 36 · 53 · 74 · 116 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-133853,-122667163] |
[a1,a2,a3,a4,a6] |
Generators |
[835:18216:1] |
Generators of the group modulo torsion |
j |
-151525354918441/3628156928000 |
j-invariant |
L |
8.6375095923925 |
L(r)(E,1)/r! |
Ω |
0.1030437092119 |
Real period |
R |
0.99790172475339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5390m1 48510dv1 |
Quadratic twists by: -3 -7 |