Atkin-Lehner |
2- 3- 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
24780p |
Isogeny class |
Conductor |
24780 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-12749310000 = -1 · 24 · 32 · 54 · 74 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1205,-17400] |
[a1,a2,a3,a4,a6] |
j |
-12103897317376/796831875 |
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 |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99120bu1 74340l1 123900c1 |
Quadratic twists by: -4 -3 5 |