Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
101400bv |
Isogeny class |
Conductor |
101400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
538560 |
Modular degree for the optimal curve |
Δ |
-1448042700000000 = -1 · 28 · 3 · 58 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 -2 13+ 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,28167,-194037] |
[a1,a2,a3,a4,a6] |
Generators |
[83:1650:1] |
Generators of the group modulo torsion |
j |
5120/3 |
j-invariant |
L |
7.9679351020514 |
L(r)(E,1)/r! |
Ω |
0.28178581592034 |
Real period |
R |
2.3563804686948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999826459 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101400cf1 600i1 |
Quadratic twists by: 5 13 |