Atkin-Lehner |
3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
9555s |
Isogeny class |
Conductor |
9555 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
2664 |
Modular degree for the optimal curve |
Δ |
-105343875 = -1 · 33 · 53 · 74 · 13 |
Discriminant |
Eigenvalues |
0 3- 5- 7+ 0 13- -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-65,-556] |
[a1,a2,a3,a4,a6] |
j |
-12845056/43875 |
j-invariant |
L |
2.3151511659364 |
L(r)(E,1)/r! |
Ω |
0.77171705531213 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
28665t1 47775a1 9555b1 124215bs1 |
Quadratic twists by: -3 5 -7 13 |