Atkin-Lehner |
2- 3- 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
24780o |
Isogeny class |
Conductor |
24780 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
156253568819720400 = 24 · 33 · 52 · 73 · 596 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-345385,-75892492] |
[a1,a2,a3,a4,a6] |
Generators |
[-304:1050:1] |
Generators of the group modulo torsion |
j |
284783880747029610496/9765848051232525 |
j-invariant |
L |
7.442016917059 |
L(r)(E,1)/r! |
Ω |
0.19735003611832 |
Real period |
R |
4.1899701911702 |
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 |
99120by3 74340p3 123900a3 |
Quadratic twists by: -4 -3 5 |