Atkin-Lehner |
5+ 7- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
96425f |
Isogeny class |
Conductor |
96425 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
38688 |
Modular degree for the optimal curve |
Δ |
-96425 = -1 · 52 · 7 · 19 · 29 |
Discriminant |
Eigenvalues |
-1 3 5+ 7- 5 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-285,-1778] |
[a1,a2,a3,a4,a6] |
j |
-102067834185/3857 |
j-invariant |
L |
5.2302081988706 |
L(r)(E,1)/r! |
Ω |
0.58113425363432 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96425k1 |
Quadratic twists by: 5 |