Atkin-Lehner |
5- 7+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
10465d |
Isogeny class |
Conductor |
10465 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
3024 |
Modular degree for the optimal curve |
Δ |
-138399625 = -1 · 53 · 7 · 13 · 233 |
Discriminant |
Eigenvalues |
1 0 5- 7+ 6 13+ -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-89,-630] |
[a1,a2,a3,a4,a6] |
j |
-78457720041/138399625 |
j-invariant |
L |
2.1997483607694 |
L(r)(E,1)/r! |
Ω |
0.73324945358979 |
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 |
94185o1 52325p1 73255g1 |
Quadratic twists by: -3 5 -7 |