Atkin-Lehner |
3- 5+ 19- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
76095g |
Isogeny class |
Conductor |
76095 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
44544 |
Modular degree for the optimal curve |
Δ |
-20802470625 = -1 · 39 · 54 · 19 · 89 |
Discriminant |
Eigenvalues |
-1 3- 5+ -3 3 -3 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,247,-6838] |
[a1,a2,a3,a4,a6] |
Generators |
[48:313:1] |
Generators of the group modulo torsion |
j |
2294744759/28535625 |
j-invariant |
L |
2.7395194608092 |
L(r)(E,1)/r! |
Ω |
0.5953529322596 |
Real period |
R |
0.57518811859231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999882121 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25365i1 |
Quadratic twists by: -3 |