Atkin-Lehner |
2- 7- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
81872bf |
Isogeny class |
Conductor |
81872 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
14966784 |
Modular degree for the optimal curve |
Δ |
-8.2137199196222E+22 |
Discriminant |
Eigenvalues |
2- -3 1 7- 2 -3 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-122611747,-522754006238] |
[a1,a2,a3,a4,a6] |
j |
-49769124995742531362902521/20053027147515036416 |
j-invariant |
L |
1.0888480144154 |
L(r)(E,1)/r! |
Ω |
0.022684334484401 |
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 |
10234b1 |
Quadratic twists by: -4 |