Atkin-Lehner |
2+ 3- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
64386v |
Isogeny class |
Conductor |
64386 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
16128000 |
Modular degree for the optimal curve |
Δ |
-1.2558081247804E+24 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 4 -3 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9609840,55124437248] |
[a1,a2,a3,a4,a6] |
j |
-1144343586227588209/14642239967695872 |
j-invariant |
L |
3.5089903497102 |
L(r)(E,1)/r! |
Ω |
0.073103965640683 |
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 |
21462be1 9198b1 |
Quadratic twists by: -3 -7 |