Atkin-Lehner |
3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
106575da |
Isogeny class |
Conductor |
106575 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1234800 |
Modular degree for the optimal curve |
Δ |
-9599744790234375 = -1 · 3 · 58 · 710 · 29 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 3 -1 -1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-931638,346068267] |
[a1,a2,a3,a4,a6] |
Generators |
[7255359:139362506:19683] |
Generators of the group modulo torsion |
j |
-810447505/87 |
j-invariant |
L |
4.9446453616417 |
L(r)(E,1)/r! |
Ω |
0.39246977604019 |
Real period |
R |
12.59879267325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000046099 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106575q1 106575bg1 |
Quadratic twists by: 5 -7 |