Atkin-Lehner |
2- 3+ 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
48336z |
Isogeny class |
Conductor |
48336 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
1367479829987328 = 216 · 3 · 195 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 -2 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2474968,1499482096] |
[a1,a2,a3,a4,a6] |
Generators |
[810:5054:1] |
Generators of the group modulo torsion |
j |
409329178597906017625/333857380368 |
j-invariant |
L |
5.6706460571369 |
L(r)(E,1)/r! |
Ω |
0.40089971152596 |
Real period |
R |
1.4144799544926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999713 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6042e1 |
Quadratic twists by: -4 |