Atkin-Lehner |
2+ 3- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
53958u |
Isogeny class |
Conductor |
53958 |
Conductor |
∏ cp |
19 |
Product of Tamagawa factors cp |
deg |
1685376 |
Modular degree for the optimal curve |
Δ |
1337883823709568 = 27 · 319 · 17 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 0 1 -4 6 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8746831,-9957629566] |
[a1,a2,a3,a4,a6] |
j |
139900792660212079521625/2529080952192 |
j-invariant |
L |
1.6679786139683 |
L(r)(E,1)/r! |
Ω |
0.087788348136085 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53958p1 |
Quadratic twists by: -23 |