Atkin-Lehner |
3+ 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15675i |
Isogeny class |
Conductor |
15675 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
-7749481201171875 = -1 · 35 · 516 · 11 · 19 |
Discriminant |
Eigenvalues |
2 3+ 5+ 2 11- 1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,44242,-2275207] |
[a1,a2,a3,a4,a6] |
j |
612911999504384/495966796875 |
j-invariant |
L |
4.1565471816096 |
L(r)(E,1)/r! |
Ω |
0.2309192878672 |
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 |
47025p1 3135h1 |
Quadratic twists by: -3 5 |