Atkin-Lehner |
2- 3- 11+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
59202x |
Isogeny class |
Conductor |
59202 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
-960875456112 = -1 · 24 · 38 · 113 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11+ 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2416,-12189] |
[a1,a2,a3,a4,a6] |
j |
2140205548103/1318073328 |
j-invariant |
L |
4.0745695250179 |
L(r)(E,1)/r! |
Ω |
0.50932119028741 |
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 |
19734g1 |
Quadratic twists by: -3 |