Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
37440fp |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
236544 |
Modular degree for the optimal curve |
Δ |
-15015121875000000 = -1 · 26 · 37 · 511 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 3 13- -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-211422,-37878986] |
[a1,a2,a3,a4,a6] |
Generators |
[1793:-73125:1] |
Generators of the group modulo torsion |
j |
-22400965661211136/321826171875 |
j-invariant |
L |
6.6073954509924 |
L(r)(E,1)/r! |
Ω |
0.11122720211804 |
Real period |
R |
0.4500340311605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37440fn1 18720g1 12480cq1 |
Quadratic twists by: -4 8 -3 |