Atkin-Lehner |
2- 3- 17- 103- |
Signs for the Atkin-Lehner involutions |
Class |
84048z |
Isogeny class |
Conductor |
84048 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
-8656944 = -1 · 24 · 3 · 17 · 1032 |
Discriminant |
Eigenvalues |
2- 3- 2 2 -4 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17,-150] |
[a1,a2,a3,a4,a6] |
Generators |
[2471847787500:-14843657485155:69325227712] |
Generators of the group modulo torsion |
j |
-35995648/541059 |
j-invariant |
L |
10.100385823029 |
L(r)(E,1)/r! |
Ω |
0.99417088670096 |
Real period |
R |
20.319214647971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001197 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21012c1 |
Quadratic twists by: -4 |