Atkin-Lehner |
3- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
3627a |
Isogeny class |
Conductor |
3627 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
-23796747 = -1 · 310 · 13 · 31 |
Discriminant |
Eigenvalues |
0 3- 0 -2 -1 13- 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-120,-558] |
[a1,a2,a3,a4,a6] |
Generators |
[14:22:1] |
Generators of the group modulo torsion |
j |
-262144000/32643 |
j-invariant |
L |
2.7504181338185 |
L(r)(E,1)/r! |
Ω |
0.71624007519486 |
Real period |
R |
1.9200392641184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58032bn1 1209b1 90675o1 47151b1 |
Quadratic twists by: -4 -3 5 13 |