Atkin-Lehner |
2- 3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
88752bl |
Isogeny class |
Conductor |
88752 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
2128896 |
Modular degree for the optimal curve |
Δ |
-1369652664939284736 = -1 · 28 · 39 · 437 |
Discriminant |
Eigenvalues |
2- 3- -3 5 3 -1 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-81972,-57054456] |
[a1,a2,a3,a4,a6] |
j |
-37642192/846369 |
j-invariant |
L |
2.1050552784174 |
L(r)(E,1)/r! |
Ω |
0.11694751689924 |
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 |
22188b1 2064g1 |
Quadratic twists by: -4 -43 |