Atkin-Lehner |
2- 3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
24360r |
Isogeny class |
Conductor |
24360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
75103402500000000 = 28 · 36 · 510 · 72 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3262516,-2267052284] |
[a1,a2,a3,a4,a6] |
j |
15001746780085491682384/293372666015625 |
j-invariant |
L |
1.7973467606537 |
L(r)(E,1)/r! |
Ω |
0.11233417254085 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
48720n2 73080o2 121800t2 |
Quadratic twists by: -4 -3 5 |