Atkin-Lehner |
2- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
36518g |
Isogeny class |
Conductor |
36518 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-187199348025850208 = -1 · 25 · 193 · 318 |
Discriminant |
Eigenvalues |
2- -3 -2 3 0 1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-899196,329077407] |
[a1,a2,a3,a4,a6] |
Generators |
[535:-1229:1] |
Generators of the group modulo torsion |
j |
-90597496156497/210927968 |
j-invariant |
L |
5.0688842913067 |
L(r)(E,1)/r! |
Ω |
0.32004239975605 |
Real period |
R |
1.5838164865561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1178b1 |
Quadratic twists by: -31 |