Atkin-Lehner |
2- 3+ 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
24780c |
Isogeny class |
Conductor |
24780 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-526884750000 = -1 · 24 · 36 · 56 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-161,34986] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:189:1] |
Generators of the group modulo torsion |
j |
-29025255424/32930296875 |
j-invariant |
L |
3.9379984653998 |
L(r)(E,1)/r! |
Ω |
0.74714955329886 |
Real period |
R |
0.87844940101852 |
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 |
99120cr1 74340r1 123900bc1 |
Quadratic twists by: -4 -3 5 |