Atkin-Lehner |
2+ 3+ 11- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
36894g |
Isogeny class |
Conductor |
36894 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
-85727219968104 = -1 · 23 · 3 · 112 · 135 · 433 |
Discriminant |
Eigenvalues |
2+ 3+ -1 0 11- 13+ -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-41828,3305304] |
[a1,a2,a3,a4,a6] |
Generators |
[109:-291:1] |
Generators of the group modulo torsion |
j |
-8093590613082337609/85727219968104 |
j-invariant |
L |
2.6962938456956 |
L(r)(E,1)/r! |
Ω |
0.60867405712269 |
Real period |
R |
0.73829712693897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110682bk1 |
Quadratic twists by: -3 |