Atkin-Lehner |
2+ 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
40656g |
Isogeny class |
Conductor |
40656 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
139439594654976 = 28 · 3 · 7 · 1110 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ 11- 0 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19521,-876291] |
[a1,a2,a3,a4,a6] |
j |
123904/21 |
j-invariant |
L |
0.40856147425378 |
L(r)(E,1)/r! |
Ω |
0.4085614742608 |
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 |
20328j1 121968be1 40656r1 |
Quadratic twists by: -4 -3 -11 |