Atkin-Lehner |
2+ 3- 23- 73- |
Signs for the Atkin-Lehner involutions |
Class |
40296h |
Isogeny class |
Conductor |
40296 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8960 |
Modular degree for the optimal curve |
Δ |
5883216 = 24 · 3 · 23 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 4 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-47,30] |
[a1,a2,a3,a4,a6] |
j |
733001728/367701 |
j-invariant |
L |
2.1204042902058 |
L(r)(E,1)/r! |
Ω |
2.1204042901556 |
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 |
80592d1 120888j1 |
Quadratic twists by: -4 -3 |