Atkin-Lehner |
2+ 3+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
19344a |
Isogeny class |
Conductor |
19344 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
309504 = 28 · 3 · 13 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 4 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-404,3264] |
[a1,a2,a3,a4,a6] |
Generators |
[21:60:1] |
Generators of the group modulo torsion |
j |
28556329552/1209 |
j-invariant |
L |
3.8587903317483 |
L(r)(E,1)/r! |
Ω |
2.876810676633 |
Real period |
R |
2.6826863255837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9672i1 77376bn1 58032d1 |
Quadratic twists by: -4 8 -3 |