Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
28560bu |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-963900000000 = -1 · 28 · 34 · 58 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2380,-14532] |
[a1,a2,a3,a4,a6] |
Generators |
[31:300:1] |
Generators of the group modulo torsion |
j |
5821462825904/3765234375 |
j-invariant |
L |
7.7922029113849 |
L(r)(E,1)/r! |
Ω |
0.50374368818786 |
Real period |
R |
0.96678666826281 |
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 |
14280bh1 114240fy1 85680u1 |
Quadratic twists by: -4 8 -3 |