Atkin-Lehner |
2- 3+ 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
45264l |
Isogeny class |
Conductor |
45264 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
97884363055693824 = 224 · 38 · 232 · 412 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-324064,-69284096] |
[a1,a2,a3,a4,a6] |
j |
918877186561273057/23897549574144 |
j-invariant |
L |
1.6033224163962 |
L(r)(E,1)/r! |
Ω |
0.20041530204419 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5658g2 |
Quadratic twists by: -4 |