Atkin-Lehner |
2+ 3+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
48642d |
Isogeny class |
Conductor |
48642 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6635520 |
Modular degree for the optimal curve |
Δ |
-1.5337424752353E+21 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -5 11- 0 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-46466543,121910626149] |
[a1,a2,a3,a4,a6] |
j |
-6263090762679682219729/865757642686464 |
j-invariant |
L |
0.58142693332157 |
L(r)(E,1)/r! |
Ω |
0.14535673358356 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4422i1 |
Quadratic twists by: -11 |