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 |
22546637011019520 = 28 · 36 · 5 · 76 · 593 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5479860,-4939267212] |
[a1,a2,a3,a4,a6] |
Generators |
[-3709482:199485:2744] |
Generators of the group modulo torsion |
j |
71087332139894319359056/88072800824295 |
j-invariant |
L |
7.442016917059 |
L(r)(E,1)/r! |
Ω |
0.098675018059158 |
Real period |
R |
8.3799403823404 |
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 |
99120by4 74340p4 123900a4 |
Quadratic twists by: -4 -3 5 |