Atkin-Lehner |
2+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
59200bc |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-9472000000000 = -1 · 217 · 59 · 37 |
Discriminant |
Eigenvalues |
2+ 2 5+ -3 -3 0 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33,-148063] |
[a1,a2,a3,a4,a6] |
j |
-2/4625 |
j-invariant |
L |
1.3339761024359 |
L(r)(E,1)/r! |
Ω |
0.33349402528481 |
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 |
59200dg1 7400b1 11840e1 |
Quadratic twists by: -4 8 5 |