Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440bg |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-107323431321600 = -1 · 224 · 39 · 52 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3468,-504592] |
[a1,a2,a3,a4,a6] |
j |
-24137569/561600 |
j-invariant |
L |
2.058445402783 |
L(r)(E,1)/r! |
Ω |
0.25730567534396 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440dy1 1170g1 12480l1 |
Quadratic twists by: -4 8 -3 |