Atkin-Lehner |
3- 5- 17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
105825g |
Isogeny class |
Conductor |
105825 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
38784 |
Modular degree for the optimal curve |
Δ |
458751375 = 32 · 53 · 173 · 83 |
Discriminant |
Eigenvalues |
-1 3- 5- -2 5 1 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-233,882] |
[a1,a2,a3,a4,a6] |
Generators |
[1:25:1] |
Generators of the group modulo torsion |
j |
11194326053/3670011 |
j-invariant |
L |
5.472415256246 |
L(r)(E,1)/r! |
Ω |
1.5370851279444 |
Real period |
R |
0.29668792980661 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003088 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105825b1 |
Quadratic twists by: 5 |