Atkin-Lehner |
2- 3- 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
24780p |
Isogeny class |
Conductor |
24780 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3274924800 = 28 · 3 · 52 · 72 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19580,-1061100] |
[a1,a2,a3,a4,a6] |
j |
3242977903408336/12792675 |
j-invariant |
L |
3.228751524455 |
L(r)(E,1)/r! |
Ω |
0.40359394055692 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99120bu2 74340l2 123900c2 |
Quadratic twists by: -4 -3 5 |