Atkin-Lehner |
3- 5- 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
100725t |
Isogeny class |
Conductor |
100725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69440 |
Modular degree for the optimal curve |
Δ |
-23607421875 = -1 · 32 · 59 · 17 · 79 |
Discriminant |
Eigenvalues |
0 3- 5- -2 0 4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1833,30494] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:187:1] |
Generators of the group modulo torsion |
j |
-348913664/12087 |
j-invariant |
L |
6.1045315663909 |
L(r)(E,1)/r! |
Ω |
1.1931101137751 |
Real period |
R |
1.2791215794894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999892604 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100725i1 |
Quadratic twists by: 5 |