Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
28560ds |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-1370880 = -1 · 28 · 32 · 5 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 -5 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-85,-337] |
[a1,a2,a3,a4,a6] |
Generators |
[23:102:1] |
Generators of the group modulo torsion |
j |
-268435456/5355 |
j-invariant |
L |
6.6331928288717 |
L(r)(E,1)/r! |
Ω |
0.78447029129541 |
Real period |
R |
2.1139082328784 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7140g1 114240fj1 85680dn1 |
Quadratic twists by: -4 8 -3 |