Atkin-Lehner |
2- 3- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57960bt |
Isogeny class |
Conductor |
57960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-173846962800 = -1 · 24 · 36 · 52 · 72 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 2 -5 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8427,-298429] |
[a1,a2,a3,a4,a6] |
j |
-5674076449024/14904575 |
j-invariant |
L |
1.9928424395371 |
L(r)(E,1)/r! |
Ω |
0.2491053048411 |
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 |
115920bx1 6440b1 |
Quadratic twists by: -4 -3 |