Atkin-Lehner |
2+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
96446a |
Isogeny class |
Conductor |
96446 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1432704 |
Modular degree for the optimal curve |
Δ |
-1556089707949170688 = -1 · 213 · 7 · 837 |
Discriminant |
Eigenvalues |
2+ 0 0 7+ -3 6 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-170072,-65766592] |
[a1,a2,a3,a4,a6] |
j |
-1664006625/4759552 |
j-invariant |
L |
1.7420543534969 |
L(r)(E,1)/r! |
Ω |
0.108878389686 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1162b1 |
Quadratic twists by: -83 |