Atkin-Lehner |
2+ 3- 5+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
65790s |
Isogeny class |
Conductor |
65790 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
573440 |
Modular degree for the optimal curve |
Δ |
19006333102080000 = 214 · 310 · 54 · 17 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-144855,-20120675] |
[a1,a2,a3,a4,a6] |
Generators |
[3305:187010:1] |
Generators of the group modulo torsion |
j |
461103418142394481/26071787520000 |
j-invariant |
L |
3.5150358493622 |
L(r)(E,1)/r! |
Ω |
0.24558122637542 |
Real period |
R |
3.5782823273568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000805 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21930bf1 |
Quadratic twists by: -3 |