Atkin-Lehner |
2- 3+ 5+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
15810l |
Isogeny class |
Conductor |
15810 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
48000 |
Modular degree for the optimal curve |
Δ |
-29607703200000 = -1 · 28 · 35 · 55 · 173 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 3 1 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5441,-306241] |
[a1,a2,a3,a4,a6] |
j |
-17814140715089809/29607703200000 |
j-invariant |
L |
2.1033667513784 |
L(r)(E,1)/r! |
Ω |
0.2629208439223 |
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 |
126480bm1 47430q1 79050x1 |
Quadratic twists by: -4 -3 5 |