Atkin-Lehner |
3- 5+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
110925r |
Isogeny class |
Conductor |
110925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-402887041334296875 = -1 · 321 · 57 · 17 · 29 |
Discriminant |
Eigenvalues |
0 3- 5+ 1 0 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,130200,24609406] |
[a1,a2,a3,a4,a6] |
Generators |
[640:19237:1] |
Generators of the group modulo torsion |
j |
21429355544576/35370055755 |
j-invariant |
L |
6.0732883331054 |
L(r)(E,1)/r! |
Ω |
0.20466452437982 |
Real period |
R |
3.709294748092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999504107 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36975i1 22185t1 |
Quadratic twists by: -3 5 |