Atkin-Lehner |
2- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
59200cy |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-1515520000000 = -1 · 219 · 57 · 37 |
Discriminant |
Eigenvalues |
2- 2 5+ -1 3 -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-85633,-9616863] |
[a1,a2,a3,a4,a6] |
Generators |
[196161:3882600:343] |
Generators of the group modulo torsion |
j |
-16954786009/370 |
j-invariant |
L |
8.7010389384799 |
L(r)(E,1)/r! |
Ω |
0.13954307147655 |
Real period |
R |
7.7942233589412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000268 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59200be1 14800p1 11840bi1 |
Quadratic twists by: -4 8 5 |