Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
40656cr |
Isogeny class |
Conductor |
40656 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
148162474758144 = 212 · 3 · 77 · 114 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 11- -2 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23877,-1301709] |
[a1,a2,a3,a4,a6] |
j |
25104437248/2470629 |
j-invariant |
L |
0.38649523984015 |
L(r)(E,1)/r! |
Ω |
0.38649523978085 |
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 |
2541i1 121968ep1 40656dm1 |
Quadratic twists by: -4 -3 -11 |