Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
36400n |
Isogeny class |
Conductor |
36400 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
2545920 |
Modular degree for the optimal curve |
Δ |
-4.3238234784911E+23 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 3 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10064375,33939840625] |
[a1,a2,a3,a4,a6] |
Generators |
[13464:1529437:1] |
Generators of the group modulo torsion |
j |
-721546155312825600/2767247026234327 |
j-invariant |
L |
6.0571539627675 |
L(r)(E,1)/r! |
Ω |
0.082258514533474 |
Real period |
R |
1.4160689712651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18200o1 36400s1 |
Quadratic twists by: -4 5 |