Atkin-Lehner |
2- 3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
22188c |
Isogeny class |
Conductor |
22188 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
88704 |
Modular degree for the optimal curve |
Δ |
-5636430719914752 = -1 · 28 · 34 · 437 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 -3 -1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,19723,3457767] |
[a1,a2,a3,a4,a6] |
j |
524288/3483 |
j-invariant |
L |
2.4832788112518 |
L(r)(E,1)/r! |
Ω |
0.31040985140648 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88752r1 66564f1 516b1 |
Quadratic twists by: -4 -3 -43 |