Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
35490dg |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
134784 |
Modular degree for the optimal curve |
Δ |
-30834621253800 = -1 · 23 · 33 · 52 · 7 · 138 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7186,354860] |
[a1,a2,a3,a4,a6] |
j |
-50308609/37800 |
j-invariant |
L |
3.6400784421113 |
L(r)(E,1)/r! |
Ω |
0.60667974035302 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
106470cy1 35490bq1 |
Quadratic twists by: -3 13 |