Atkin-Lehner |
2- 3- 37+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
81252f |
Isogeny class |
Conductor |
81252 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
-21335568770304 = -1 · 28 · 36 · 374 · 61 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 3 5 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11223,508734] |
[a1,a2,a3,a4,a6] |
j |
-837689568336/114323821 |
j-invariant |
L |
2.635586380637 |
L(r)(E,1)/r! |
Ω |
0.65889659942617 |
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 |
9028b1 |
Quadratic twists by: -3 |