Atkin-Lehner |
2+ 11+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
84656b |
Isogeny class |
Conductor |
84656 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
93696 |
Modular degree for the optimal curve |
Δ |
-67757307904 = -1 · 211 · 11 · 133 · 372 |
Discriminant |
Eigenvalues |
2+ -2 -1 3 11+ 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1776,-32012] |
[a1,a2,a3,a4,a6] |
j |
-302668452578/33084623 |
j-invariant |
L |
1.4617695496745 |
L(r)(E,1)/r! |
Ω |
0.36544237198651 |
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 |
42328g1 |
Quadratic twists by: -4 |