Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
28560bx |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-27417600 = -1 · 210 · 32 · 52 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,0,-252] |
[a1,a2,a3,a4,a6] |
Generators |
[8:18:1] |
Generators of the group modulo torsion |
j |
-4/26775 |
j-invariant |
L |
7.1816077864038 |
L(r)(E,1)/r! |
Ω |
0.96556327481685 |
Real period |
R |
1.8594347915123 |
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 |
14280i1 114240ga1 85680z1 |
Quadratic twists by: -4 8 -3 |