Atkin-Lehner |
5+ 7- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
96425h |
Isogeny class |
Conductor |
96425 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-32957763671875 = -1 · 513 · 72 · 19 · 29 |
Discriminant |
Eigenvalues |
0 2 5+ 7- 2 1 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-32033,-2213282] |
[a1,a2,a3,a4,a6] |
Generators |
[11225488:586266691:4096] |
Generators of the group modulo torsion |
j |
-232653764952064/2109296875 |
j-invariant |
L |
8.9346017595133 |
L(r)(E,1)/r! |
Ω |
0.1783339892668 |
Real period |
R |
12.525096588308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19285c1 |
Quadratic twists by: 5 |