Atkin-Lehner |
3- 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
15141j |
Isogeny class |
Conductor |
15141 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14784 |
Modular degree for the optimal curve |
Δ |
-12469264563 = -1 · 3 · 79 · 103 |
Discriminant |
Eigenvalues |
2 3- 0 7- 5 -2 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,572,-899] |
[a1,a2,a3,a4,a6] |
Generators |
[1050870:7710517:27000] |
Generators of the group modulo torsion |
j |
512000/309 |
j-invariant |
L |
11.573703858161 |
L(r)(E,1)/r! |
Ω |
0.73573869521007 |
Real period |
R |
7.8653630246108 |
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 |
45423j1 15141h1 |
Quadratic twists by: -3 -7 |