Atkin-Lehner |
2- 5- 23+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
67850x |
Isogeny class |
Conductor |
67850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-8481250000 = -1 · 24 · 58 · 23 · 59 |
Discriminant |
Eigenvalues |
2- 0 5- 1 -6 -4 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-55,4447] |
[a1,a2,a3,a4,a6] |
Generators |
[19:90:1] |
Generators of the group modulo torsion |
j |
-46305/21712 |
j-invariant |
L |
8.199544422191 |
L(r)(E,1)/r! |
Ω |
1.0595042270636 |
Real period |
R |
0.64491990772773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002355 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67850f1 |
Quadratic twists by: 5 |