Atkin-Lehner |
3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
13671i |
Isogeny class |
Conductor |
13671 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
2421776637 = 313 · 72 · 31 |
Discriminant |
Eigenvalues |
0 3- -2 7- -1 -4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-336,117] |
[a1,a2,a3,a4,a6] |
Generators |
[29:121:1] |
Generators of the group modulo torsion |
j |
117440512/67797 |
j-invariant |
L |
2.8606924389617 |
L(r)(E,1)/r! |
Ω |
1.2330692974221 |
Real period |
R |
0.57999425598835 |
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 |
4557j1 13671h1 |
Quadratic twists by: -3 -7 |