Atkin-Lehner |
2- 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
1010b |
Isogeny class |
Conductor |
1010 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
160 |
Modular degree for the optimal curve |
Δ |
-80800 = -1 · 25 · 52 · 101 |
Discriminant |
Eigenvalues |
2- -2 5- 1 -6 -6 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-15,25] |
[a1,a2,a3,a4,a6] |
Generators |
[0:5:1] |
Generators of the group modulo torsion |
j |
-374805361/80800 |
j-invariant |
L |
2.707601282598 |
L(r)(E,1)/r! |
Ω |
3.2754348688529 |
Real period |
R |
0.082663871852418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8080h1 32320f1 9090e1 5050b1 |
Quadratic twists by: -4 8 -3 5 |