Atkin-Lehner |
3- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3705h |
Isogeny class |
Conductor |
3705 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
2352 |
Modular degree for the optimal curve |
Δ |
-1282948875 = -1 · 37 · 53 · 13 · 192 |
Discriminant |
Eigenvalues |
-2 3- 5- -1 -3 13+ -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,220,1256] |
[a1,a2,a3,a4,a6] |
Generators |
[55:-428:1] |
Generators of the group modulo torsion |
j |
1172239069184/1282948875 |
j-invariant |
L |
2.1949062425114 |
L(r)(E,1)/r! |
Ω |
1.0155150213372 |
Real period |
R |
0.051461250048212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59280bj1 11115c1 18525g1 48165t1 |
Quadratic twists by: -4 -3 5 13 |