Atkin-Lehner |
2+ 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
3654h |
Isogeny class |
Conductor |
3654 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
-43508178 = -1 · 2 · 37 · 73 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 5 3 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-378,-2754] |
[a1,a2,a3,a4,a6] |
j |
-8205738913/59682 |
j-invariant |
L |
1.0821416332323 |
L(r)(E,1)/r! |
Ω |
0.54107081661613 |
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 |
29232bq1 116928bm1 1218i1 91350er1 |
Quadratic twists by: -4 8 -3 5 |