Atkin-Lehner |
2+ 3- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
3198c |
Isogeny class |
Conductor |
3198 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
230256 = 24 · 33 · 13 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -1 -2 3 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-34,68] |
[a1,a2,a3,a4,a6] |
Generators |
[1:5:1] |
Generators of the group modulo torsion |
j |
4165509529/230256 |
j-invariant |
L |
2.7681884519786 |
L(r)(E,1)/r! |
Ω |
3.0928352626702 |
Real period |
R |
0.14917210352746 |
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 |
25584p1 102336r1 9594p1 79950bl1 |
Quadratic twists by: -4 8 -3 5 |