Atkin-Lehner |
2+ 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
24150ba |
Isogeny class |
Conductor |
24150 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
20996010000000000 = 210 · 34 · 510 · 72 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-155401,22511948] |
[a1,a2,a3,a4,a6] |
Generators |
[-338:6206:1] |
Generators of the group modulo torsion |
j |
26562019806177409/1343744640000 |
j-invariant |
L |
4.3490935131455 |
L(r)(E,1)/r! |
Ω |
0.37825240718353 |
Real period |
R |
1.4372325960622 |
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 |
72450de2 4830s2 |
Quadratic twists by: -3 5 |