Atkin-Lehner |
2- 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
29760cu |
Isogeny class |
Conductor |
29760 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
285696000000 = 216 · 32 · 56 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2145,-29025] |
[a1,a2,a3,a4,a6] |
j |
16662038116/4359375 |
j-invariant |
L |
4.2907132688938 |
L(r)(E,1)/r! |
Ω |
0.71511887814915 |
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 |
29760t2 7440b2 89280ef2 |
Quadratic twists by: -4 8 -3 |