Atkin-Lehner |
2- 3+ 5- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
24420g |
Isogeny class |
Conductor |
24420 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
195164640000 = 28 · 34 · 54 · 11 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11+ 0 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5060,138600] |
[a1,a2,a3,a4,a6] |
Generators |
[50:90:1] |
Generators of the group modulo torsion |
j |
55978482795856/762361875 |
j-invariant |
L |
4.8384158216328 |
L(r)(E,1)/r! |
Ω |
1.0092802787903 |
Real period |
R |
0.39949390366833 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97680cy2 73260o2 122100q2 |
Quadratic twists by: -4 -3 5 |