Atkin-Lehner |
2- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
36784t |
Isogeny class |
Conductor |
36784 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
481536 |
Modular degree for the optimal curve |
Δ |
-8746311643270479872 = -1 · 231 · 118 · 19 |
Discriminant |
Eigenvalues |
2- 1 2 -3 11- -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-526632,204480692] |
[a1,a2,a3,a4,a6] |
Generators |
[5402:100309:8] |
Generators of the group modulo torsion |
j |
-18396908233/9961472 |
j-invariant |
L |
6.4373637939737 |
L(r)(E,1)/r! |
Ω |
0.21541781007383 |
Real period |
R |
4.9805258223283 |
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 |
4598j1 36784be1 |
Quadratic twists by: -4 -11 |