Atkin-Lehner |
3- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
69819f |
Isogeny class |
Conductor |
69819 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
437760 |
Modular degree for the optimal curve |
Δ |
-471867229050381 = -1 · 38 · 175 · 373 |
Discriminant |
Eigenvalues |
-1 3- -3 -5 -5 0 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2822,1046481] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:979:1] [40:-1019:1] |
Generators of the group modulo torsion |
j |
-49068093781/9315681777 |
j-invariant |
L |
5.0041421732403 |
L(r)(E,1)/r! |
Ω |
0.42928246826074 |
Real period |
R |
0.14571239635821 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000106 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69819d1 |
Quadratic twists by: 37 |