Atkin-Lehner |
2- 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850fd |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
1055512684800000000 = 214 · 311 · 58 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-473855,-115291353] |
[a1,a2,a3,a4,a6] |
j |
1033027067767969/92665036800 |
j-invariant |
L |
5.1242353805848 |
L(r)(E,1)/r! |
Ω |
0.18300840650077 |
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 |
19950d1 11970w1 |
Quadratic twists by: -3 5 |