Atkin-Lehner |
2+ 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
39600bo |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-42340320000 = -1 · 28 · 37 · 54 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 11+ -5 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-300,-10100] |
[a1,a2,a3,a4,a6] |
Generators |
[65:495:1] |
Generators of the group modulo torsion |
j |
-25600/363 |
j-invariant |
L |
5.9435878879913 |
L(r)(E,1)/r! |
Ω |
0.48912048009524 |
Real period |
R |
1.0126318786931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999965 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19800w1 13200bf1 39600r1 |
Quadratic twists by: -4 -3 5 |