Atkin-Lehner |
3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
106575y |
Isogeny class |
Conductor |
106575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-224806640625 = -1 · 34 · 59 · 72 · 29 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 3 0 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-813,24156] |
[a1,a2,a3,a4,a6] |
Generators |
[70:527:1] |
Generators of the group modulo torsion |
j |
-77626969/293625 |
j-invariant |
L |
3.7554222648179 |
L(r)(E,1)/r! |
Ω |
0.86899906164155 |
Real period |
R |
0.54019365521691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000076988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21315v1 106575bw1 |
Quadratic twists by: 5 -7 |