Atkin-Lehner |
2- 3- 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
114192bk |
Isogeny class |
Conductor |
114192 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
-1662255489024 = -1 · 213 · 39 · 132 · 61 |
Discriminant |
Eigenvalues |
2- 3- 3 2 -4 13+ -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1509,-57782] |
[a1,a2,a3,a4,a6] |
Generators |
[197:2808:1] |
Generators of the group modulo torsion |
j |
127263527/556686 |
j-invariant |
L |
8.7185703109904 |
L(r)(E,1)/r! |
Ω |
0.42536681970117 |
Real period |
R |
0.64051851214965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999906638 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14274p1 38064ba1 |
Quadratic twists by: -4 -3 |