Atkin-Lehner |
2- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41650bt |
Isogeny class |
Conductor |
41650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-52062500 = -1 · 22 · 56 · 72 · 17 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -1 5 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-113,531] |
[a1,a2,a3,a4,a6] |
Generators |
[15:42:1] |
Generators of the group modulo torsion |
j |
-208537/68 |
j-invariant |
L |
6.906212768931 |
L(r)(E,1)/r! |
Ω |
1.887116820073 |
Real period |
R |
0.91491590444635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1666e1 41650bh1 |
Quadratic twists by: 5 -7 |