Atkin-Lehner |
2+ 3+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
24864d |
Isogeny class |
Conductor |
24864 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
353267712 = 212 · 32 · 7 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ -4 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-385,-2639] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:12:1] [-9:4:1] |
Generators of the group modulo torsion |
j |
1544804416/86247 |
j-invariant |
L |
5.2126171879388 |
L(r)(E,1)/r! |
Ω |
1.0813083316086 |
Real period |
R |
1.2051643910358 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24864bb2 49728bn1 74592bk2 |
Quadratic twists by: -4 8 -3 |