Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
121296ce |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
1.0467179414262E+20 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 2 4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1215968,-154709184] |
[a1,a2,a3,a4,a6] |
j |
1031831907625/543185433 |
j-invariant |
L |
1.8298394309516 |
L(r)(E,1)/r! |
Ω |
0.15248670702664 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7581e1 6384be1 |
Quadratic twists by: -4 -19 |