Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
67032cs |
Isogeny class |
Conductor |
67032 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-563409313041456 = -1 · 24 · 38 · 710 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,17934,670565] |
[a1,a2,a3,a4,a6] |
Generators |
[109:1980:1] |
Generators of the group modulo torsion |
j |
464857088/410571 |
j-invariant |
L |
5.7898943936073 |
L(r)(E,1)/r! |
Ω |
0.33732668129822 |
Real period |
R |
4.2910142561726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997498 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22344i1 9576z1 |
Quadratic twists by: -3 -7 |