Atkin-Lehner |
2- 3- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
31218r |
Isogeny class |
Conductor |
31218 |
Conductor |
∏ cp |
35 |
Product of Tamagawa factors cp |
deg |
332640 |
Modular degree for the optimal curve |
Δ |
-34690579155948672 = -1 · 27 · 35 · 1110 · 43 |
Discriminant |
Eigenvalues |
2- 3- 4 1 11- 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,58259,7146833] |
[a1,a2,a3,a4,a6] |
j |
843112391/1337472 |
j-invariant |
L |
8.7660353587915 |
L(r)(E,1)/r! |
Ω |
0.25045815310842 |
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 |
93654r1 31218j1 |
Quadratic twists by: -3 -11 |