Atkin-Lehner |
2+ 3+ 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
24240f |
Isogeny class |
Conductor |
24240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-43155929502720 = -1 · 210 · 34 · 5 · 1014 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5240,-282080] |
[a1,a2,a3,a4,a6] |
Generators |
[2572358646:-29697543875:23393656] |
Generators of the group modulo torsion |
j |
15535839759836/42144462405 |
j-invariant |
L |
5.411481771008 |
L(r)(E,1)/r! |
Ω |
0.3300790315553 |
Real period |
R |
16.394503296709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12120j4 96960cz3 72720d3 121200bf3 |
Quadratic twists by: -4 8 -3 5 |