Atkin-Lehner |
2+ 3- 5+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
119850bc |
Isogeny class |
Conductor |
119850 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
-365027586048000000 = -1 · 218 · 38 · 56 · 172 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -2 -4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-338526,-81221552] |
[a1,a2,a3,a4,a6] |
j |
-274585709373920209/23361765507072 |
j-invariant |
L |
1.5757428187634 |
L(r)(E,1)/r! |
Ω |
0.098483911464777 |
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 |
4794c1 |
Quadratic twists by: 5 |