Atkin-Lehner |
2+ 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
40656k |
Isogeny class |
Conductor |
40656 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-3764869055684352 = -1 · 28 · 34 · 7 · 1110 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 11- -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3348,-2952288] |
[a1,a2,a3,a4,a6] |
j |
9148592/8301447 |
j-invariant |
L |
0.82462211014145 |
L(r)(E,1)/r! |
Ω |
0.20615552755613 |
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 |
20328l1 121968bn1 3696d1 |
Quadratic twists by: -4 -3 -11 |