Atkin-Lehner |
2+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
24400b |
Isogeny class |
Conductor |
24400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
1.0062573117383E+21 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 -4 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2542550,-325166125] |
[a1,a2,a3,a4,a6] |
Generators |
[97919542759165:9388145378637500:10345981339] |
Generators of the group modulo torsion |
j |
7270967611425540096/4025029246953125 |
j-invariant |
L |
5.1687985386278 |
L(r)(E,1)/r! |
Ω |
0.12806511999973 |
Real period |
R |
20.180352537204 |
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 |
12200h1 97600cc1 4880b1 |
Quadratic twists by: -4 8 5 |