Atkin-Lehner |
2+ 7+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
40936a |
Isogeny class |
Conductor |
40936 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
53624195072 = 211 · 72 · 172 · 432 |
Discriminant |
Eigenvalues |
2+ 0 -2 7+ -2 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-78851,8522334] |
[a1,a2,a3,a4,a6] |
Generators |
[134:602:1] [230:1598:1] |
Generators of the group modulo torsion |
j |
26473744691768754/26183689 |
j-invariant |
L |
7.7221418351598 |
L(r)(E,1)/r! |
Ω |
0.94017112743293 |
Real period |
R |
4.1067746125354 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81872e2 |
Quadratic twists by: -4 |