Atkin-Lehner |
2+ 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
40656l |
Isogeny class |
Conductor |
40656 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
17641989707215104 = 28 · 38 · 72 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-252204,48413664] |
[a1,a2,a3,a4,a6] |
j |
3911877700432/38900169 |
j-invariant |
L |
0.78106742662901 |
L(r)(E,1)/r! |
Ω |
0.39053371329219 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
20328m2 121968bj2 3696g2 |
Quadratic twists by: -4 -3 -11 |