Atkin-Lehner |
3- 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15675y |
Isogeny class |
Conductor |
15675 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
25200 |
Modular degree for the optimal curve |
Δ |
19838671875 = 35 · 58 · 11 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5- 3 11+ 7 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9513,-357858] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:30:1] |
Generators of the group modulo torsion |
j |
243735630385/50787 |
j-invariant |
L |
4.3332341710355 |
L(r)(E,1)/r! |
Ω |
0.48342084487949 |
Real period |
R |
1.79273782541 |
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 |
47025br1 15675d1 |
Quadratic twists by: -3 5 |