Atkin-Lehner |
2+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
40256a |
Isogeny class |
Conductor |
40256 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-1524889550848 = -1 · 223 · 173 · 37 |
Discriminant |
Eigenvalues |
2+ -2 -2 3 -2 -3 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10529,416575] |
[a1,a2,a3,a4,a6] |
Generators |
[67:128:1] |
Generators of the group modulo torsion |
j |
-492477523273/5816992 |
j-invariant |
L |
3.2086209416108 |
L(r)(E,1)/r! |
Ω |
0.85115093374717 |
Real period |
R |
0.94243594596255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40256u1 1258a1 |
Quadratic twists by: -4 8 |