Atkin-Lehner |
2- 3- 5+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
24780i |
Isogeny class |
Conductor |
24780 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
12631852800 = 28 · 34 · 52 · 7 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-756,-6156] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:30:1] |
Generators of the group modulo torsion |
j |
186906097744/49343175 |
j-invariant |
L |
6.0931057852996 |
L(r)(E,1)/r! |
Ω |
0.92825781387789 |
Real period |
R |
1.641005789072 |
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 |
99120bt2 74340v2 123900g2 |
Quadratic twists by: -4 -3 5 |