Atkin-Lehner |
2- 3+ 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850ej |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-157106250000 = -1 · 24 · 33 · 58 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -3 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1055,23447] |
[a1,a2,a3,a4,a6] |
Generators |
[69:-560:1] |
Generators of the group modulo torsion |
j |
-12301875/14896 |
j-invariant |
L |
9.3048889421263 |
L(r)(E,1)/r! |
Ω |
0.92715570855227 |
Real period |
R |
0.20908230534394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000209 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59850v1 59850r1 |
Quadratic twists by: -3 5 |