Atkin-Lehner |
2+ 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
24642f |
Isogeny class |
Conductor |
24642 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
511488 |
Modular degree for the optimal curve |
Δ |
-1.402183202997E+19 |
Discriminant |
Eigenvalues |
2+ 3- -1 0 -2 6 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-351405,197284729] |
[a1,a2,a3,a4,a6] |
j |
-1369/4 |
j-invariant |
L |
0.78469121544318 |
L(r)(E,1)/r! |
Ω |
0.19617280386087 |
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 |
2738c1 24642r1 |
Quadratic twists by: -3 37 |