Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
28560bw |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
14994000 = 24 · 32 · 53 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-715,-7600] |
[a1,a2,a3,a4,a6] |
Generators |
[250:315:8] |
Generators of the group modulo torsion |
j |
2530050082816/937125 |
j-invariant |
L |
7.3163051355434 |
L(r)(E,1)/r! |
Ω |
0.92317087158005 |
Real period |
R |
2.6417302079088 |
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 |
14280h1 114240fz1 85680x1 |
Quadratic twists by: -4 8 -3 |