Atkin-Lehner |
2- 5+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
40040h |
Isogeny class |
Conductor |
40040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-10986976000 = -1 · 28 · 53 · 74 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 11+ 13- -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1028,13652] |
[a1,a2,a3,a4,a6] |
Generators |
[4:98:1] |
Generators of the group modulo torsion |
j |
-469313547264/42917875 |
j-invariant |
L |
3.8459695007697 |
L(r)(E,1)/r! |
Ω |
1.2500657649346 |
Real period |
R |
0.76915343349439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999916 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80080g1 |
Quadratic twists by: -4 |