Atkin-Lehner |
2+ 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
3120l |
Isogeny class |
Conductor |
3120 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-49920 = -1 · 28 · 3 · 5 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 5 -1 13- -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-345,2355] |
[a1,a2,a3,a4,a6] |
j |
-17790954496/195 |
j-invariant |
L |
3.2307080042065 |
L(r)(E,1)/r! |
Ω |
3.2307080042065 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1560l1 12480br1 9360p1 15600g1 |
Quadratic twists by: -4 8 -3 5 |