Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
28560ca |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-6101074218750000 = -1 · 24 · 3 · 516 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-129375,-18344352] |
[a1,a2,a3,a4,a6] |
Generators |
[7565784:119783125:13824] |
Generators of the group modulo torsion |
j |
-14967807005098080256/381317138671875 |
j-invariant |
L |
7.2220734823881 |
L(r)(E,1)/r! |
Ω |
0.12567627534243 |
Real period |
R |
7.1832108553408 |
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 |
14280bk1 114240gh1 85680be1 |
Quadratic twists by: -4 8 -3 |