Atkin-Lehner |
2+ 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
40400c |
Isogeny class |
Conductor |
40400 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
404000000 = 28 · 56 · 101 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 2 3 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3233,71837] |
[a1,a2,a3,a4,a6] |
Generators |
[11284:183:343] |
Generators of the group modulo torsion |
j |
934577152/101 |
j-invariant |
L |
9.4703916643452 |
L(r)(E,1)/r! |
Ω |
1.6163119359177 |
Real period |
R |
5.859259870506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20200b1 1616b1 |
Quadratic twists by: -4 5 |