Atkin-Lehner |
2+ 5- 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
67450j |
Isogeny class |
Conductor |
67450 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
207648 |
Modular degree for the optimal curve |
Δ |
-38959120000 = -1 · 27 · 54 · 193 · 71 |
Discriminant |
Eigenvalues |
2+ -2 5- 5 0 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-32926,2296848] |
[a1,a2,a3,a4,a6] |
Generators |
[-164:1896:1] |
Generators of the group modulo torsion |
j |
-6315993225982825/62334592 |
j-invariant |
L |
3.8113862437641 |
L(r)(E,1)/r! |
Ω |
1.0398055209531 |
Real period |
R |
3.665479906084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001247 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
67450o1 |
Quadratic twists by: 5 |