Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
10560cn |
Isogeny class |
Conductor |
10560 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-620991360000 = -1 · 210 · 36 · 54 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,875,36875] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:165:1] |
Generators of the group modulo torsion |
j |
72268906496/606436875 |
j-invariant |
L |
5.5005011604875 |
L(r)(E,1)/r! |
Ω |
0.66810416031394 |
Real period |
R |
0.22869442817215 |
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 |
10560i1 2640o1 31680co1 52800ev1 |
Quadratic twists by: -4 8 -3 5 |