Atkin-Lehner |
2+ 3+ 11- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
36894h |
Isogeny class |
Conductor |
36894 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
-26785044 = -1 · 22 · 32 · 113 · 13 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -1 3 11- 13+ 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-28,244] |
[a1,a2,a3,a4,a6] |
Generators |
[10:-38:1] |
Generators of the group modulo torsion |
j |
-2565726409/26785044 |
j-invariant |
L |
3.8850736443616 |
L(r)(E,1)/r! |
Ω |
1.7991503537555 |
Real period |
R |
0.17994946134115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110682bl1 |
Quadratic twists by: -3 |