Atkin-Lehner |
2- 5- 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
17420i |
Isogeny class |
Conductor |
17420 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-7654348000000 = -1 · 28 · 56 · 134 · 67 |
Discriminant |
Eigenvalues |
2- 0 5- -2 -6 13- -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1648,130596] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:250:1] [12:390:1] |
Generators of the group modulo torsion |
j |
1933549830144/29899796875 |
j-invariant |
L |
6.8061091785648 |
L(r)(E,1)/r! |
Ω |
0.55059302771756 |
Real period |
R |
0.17168632617563 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69680bg1 87100d1 |
Quadratic twists by: -4 5 |