Atkin-Lehner |
2+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
826b |
Isogeny class |
Conductor |
826 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
180 |
Modular degree for the optimal curve |
Δ |
-647584 = -1 · 25 · 73 · 59 |
Discriminant |
Eigenvalues |
2+ 2 3 7- -2 -2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-136,-672] |
[a1,a2,a3,a4,a6] |
j |
-281397674377/647584 |
j-invariant |
L |
2.0947451878568 |
L(r)(E,1)/r! |
Ω |
0.69824839595226 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6608c1 26432d1 7434j1 20650s1 |
Quadratic twists by: -4 8 -3 5 |