Atkin-Lehner |
2+ 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850cz |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
141120 |
Modular degree for the optimal curve |
Δ |
7423270312500 = 22 · 36 · 58 · 73 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -5 -1 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4992,-34084] |
[a1,a2,a3,a4,a6] |
j |
48317985/26068 |
j-invariant |
L |
1.2099243299246 |
L(r)(E,1)/r! |
Ω |
0.60496216415299 |
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 |
6650be1 59850fs1 |
Quadratic twists by: -3 5 |