Atkin-Lehner |
2+ 3- 23- 103- |
Signs for the Atkin-Lehner involutions |
Class |
42642g |
Isogeny class |
Conductor |
42642 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
139776 |
Modular degree for the optimal curve |
Δ |
-5857103167488 = -1 · 214 · 38 · 232 · 103 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 6 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8658,333396] |
[a1,a2,a3,a4,a6] |
j |
-98463924947233/8034435072 |
j-invariant |
L |
1.4852068584682 |
L(r)(E,1)/r! |
Ω |
0.74260342927626 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14214f1 |
Quadratic twists by: -3 |