Atkin-Lehner |
3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
1305f |
Isogeny class |
Conductor |
1305 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
160 |
Modular degree for the optimal curve |
Δ |
-2854035 = -1 · 39 · 5 · 29 |
Discriminant |
Eigenvalues |
0 3- 5- 2 -3 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-102,-405] |
[a1,a2,a3,a4,a6] |
j |
-160989184/3915 |
j-invariant |
L |
1.5001178048533 |
L(r)(E,1)/r! |
Ω |
0.75005890242664 |
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 |
20880co1 83520v1 435a1 6525g1 |
Quadratic twists by: -4 8 -3 5 |