Atkin-Lehner |
2- 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850gh |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-763536375000000 = -1 · 26 · 38 · 59 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,12820,-1209553] |
[a1,a2,a3,a4,a6] |
Generators |
[105:1081:1] |
Generators of the group modulo torsion |
j |
163667323/536256 |
j-invariant |
L |
10.678238270419 |
L(r)(E,1)/r! |
Ω |
0.25786452071293 |
Real period |
R |
1.7254277298709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000289 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19950bi1 59850cn1 |
Quadratic twists by: -3 5 |