Atkin-Lehner |
2- 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600ho |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
55641600 |
Modular degree for the optimal curve |
Δ |
-5.3701655167645E+27 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 2 2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-562880833,6233302189537] |
[a1,a2,a3,a4,a6] |
j |
-192607474931043120625/52443022624653312 |
j-invariant |
L |
3.996072396693 |
L(r)(E,1)/r! |
Ω |
0.04077624927115 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81600fa1 20400dy1 81600if1 |
Quadratic twists by: -4 8 5 |