Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
3906k |
Isogeny class |
Conductor |
3906 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-1133927424 = -1 · 210 · 36 · 72 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 2 -4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,189,-1323] |
[a1,a2,a3,a4,a6] |
Generators |
[7:14:1] |
Generators of the group modulo torsion |
j |
1021147343/1555456 |
j-invariant |
L |
3.1093736180529 |
L(r)(E,1)/r! |
Ω |
0.8173385517372 |
Real period |
R |
1.9021332172844 |
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 |
31248br1 124992cu1 434d1 97650cx1 |
Quadratic twists by: -4 8 -3 5 |