Atkin-Lehner |
2+ 3- 17- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
41208c |
Isogeny class |
Conductor |
41208 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
384000 |
Modular degree for the optimal curve |
Δ |
-42824867976198144 = -1 · 211 · 35 · 174 · 1013 |
Discriminant |
Eigenvalues |
2+ 3- 3 2 -2 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,73656,-6294672] |
[a1,a2,a3,a4,a6] |
Generators |
[171:3366:1] |
Generators of the group modulo torsion |
j |
21578052925942126/20910580066503 |
j-invariant |
L |
9.7537039008366 |
L(r)(E,1)/r! |
Ω |
0.19692644342329 |
Real period |
R |
2.476484044317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82416b1 123624n1 |
Quadratic twists by: -4 -3 |