Atkin-Lehner |
2+ 3- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
53958s |
Isogeny class |
Conductor |
53958 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
777216 |
Modular degree for the optimal curve |
Δ |
-1199308306551107328 = -1 · 28 · 32 · 172 · 239 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 0 2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-121417,55138316] |
[a1,a2,a3,a4,a6] |
Generators |
[2038:89939:1] |
Generators of the group modulo torsion |
j |
-109902239/665856 |
j-invariant |
L |
5.4300176874958 |
L(r)(E,1)/r! |
Ω |
0.23605530064834 |
Real period |
R |
5.7507898282535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53958ba1 |
Quadratic twists by: -23 |