Atkin-Lehner |
2+ 3- 5+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
15810g |
Isogeny class |
Conductor |
15810 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3648 |
Modular degree for the optimal curve |
Δ |
-1517760 = -1 · 26 · 32 · 5 · 17 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 -5 -1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-39,106] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:12:1] |
Generators of the group modulo torsion |
j |
-6321363049/1517760 |
j-invariant |
L |
4.3204528503901 |
L(r)(E,1)/r! |
Ω |
2.5571914905951 |
Real period |
R |
0.42238260864311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126480bc1 47430bg1 79050bj1 |
Quadratic twists by: -4 -3 5 |