Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
40656y |
Isogeny class |
Conductor |
40656 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-13828720131072 = -1 · 210 · 32 · 7 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- -2 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1008,-179676] |
[a1,a2,a3,a4,a6] |
j |
-62500/7623 |
j-invariant |
L |
2.5039639016407 |
L(r)(E,1)/r! |
Ω |
0.31299548770567 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20328a1 121968bv1 3696k1 |
Quadratic twists by: -4 -3 -11 |