Atkin-Lehner |
2- 3+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
36822s |
Isogeny class |
Conductor |
36822 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
656640 |
Modular degree for the optimal curve |
Δ |
-37917095239823616 = -1 · 28 · 33 · 17 · 199 |
Discriminant |
Eigenvalues |
2- 3+ -3 1 2 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1463682,681036687] |
[a1,a2,a3,a4,a6] |
Generators |
[1233:26819:1] |
Generators of the group modulo torsion |
j |
-1074685818907/117504 |
j-invariant |
L |
6.0461933181388 |
L(r)(E,1)/r! |
Ω |
0.3501538920238 |
Real period |
R |
1.0792028619174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110466g1 36822m1 |
Quadratic twists by: -3 -19 |