Atkin-Lehner |
2- 11- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
42328g |
Isogeny class |
Conductor |
42328 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46848 |
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 |
2.1397825578847 |
L(r)(E,1)/r! |
Ω |
1.0698912788817 |
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 |
84656b1 |
Quadratic twists by: -4 |