Atkin-Lehner |
37- 41- |
Signs for the Atkin-Lehner involutions |
Class |
56129d |
Isogeny class |
Conductor |
56129 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
81216 |
Modular degree for the optimal curve |
Δ |
-3491055413 = -1 · 373 · 413 |
Discriminant |
Eigenvalues |
-1 1 -4 0 -3 -3 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-18140,-941899] |
[a1,a2,a3,a4,a6] |
Generators |
[188:1423:1] |
Generators of the group modulo torsion |
j |
-13032624560437/68921 |
j-invariant |
L |
1.6065115573888 |
L(r)(E,1)/r! |
Ω |
0.20568848331727 |
Real period |
R |
1.3017351380372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000291 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56129c1 |
Quadratic twists by: 37 |