Atkin-Lehner |
37+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
81733a |
Isogeny class |
Conductor |
81733 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4424832 |
Modular degree for the optimal curve |
Δ |
-41407827504802379 = -1 · 37 · 479 |
Discriminant |
Eigenvalues |
-2 3 -1 -4 2 -1 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4190473,3301753090] |
[a1,a2,a3,a4,a6] |
j |
-754963064303616/3841451 |
j-invariant |
L |
1.2828142933409 |
L(r)(E,1)/r! |
Ω |
0.32070355309314 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1739a1 |
Quadratic twists by: -47 |