Atkin-Lehner |
2- 3- 7- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
59598bh |
Isogeny class |
Conductor |
59598 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
2239488 |
Modular degree for the optimal curve |
Δ |
-3060114909182554608 = -1 · 24 · 36 · 73 · 112 · 436 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10494860,-13083832321] |
[a1,a2,a3,a4,a6] |
j |
-175358205925209173301625/4197688489962352 |
j-invariant |
L |
3.019654621292 |
L(r)(E,1)/r! |
Ω |
0.041939647517734 |
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 |
6622f1 |
Quadratic twists by: -3 |