Atkin-Lehner |
2- 3- 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
58140g |
Isogeny class |
Conductor |
58140 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-134216190000 = -1 · 24 · 37 · 54 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 4 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1272,-24811] |
[a1,a2,a3,a4,a6] |
j |
-19513606144/11506875 |
j-invariant |
L |
1.5567237585855 |
L(r)(E,1)/r! |
Ω |
0.38918093967678 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19380f1 |
Quadratic twists by: -3 |