Atkin-Lehner |
2- 3+ 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
93138v |
Isogeny class |
Conductor |
93138 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
171360 |
Modular degree for the optimal curve |
Δ |
392176549152 = 25 · 37 · 194 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 1 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5603,-160927] |
[a1,a2,a3,a4,a6] |
j |
149271198625/3009312 |
j-invariant |
L |
2.7624609310333 |
L(r)(E,1)/r! |
Ω |
0.55249220392492 |
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 |
93138o1 |
Quadratic twists by: -19 |