Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40950ev |
Isogeny class |
Conductor |
40950 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-692354138112000000 = -1 · 220 · 36 · 56 · 73 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,194920,-22532453] |
[a1,a2,a3,a4,a6] |
Generators |
[253:6425:1] |
Generators of the group modulo torsion |
j |
71903073502287/60782804992 |
j-invariant |
L |
8.9518359054446 |
L(r)(E,1)/r! |
Ω |
0.15810127968704 |
Real period |
R |
0.47184078897421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4550h1 1638e1 |
Quadratic twists by: -3 5 |