Atkin-Lehner |
2+ 7- 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
15106c |
Isogeny class |
Conductor |
15106 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-1352848042 = -1 · 2 · 7 · 132 · 833 |
Discriminant |
Eigenvalues |
2+ -2 0 7- -3 13- 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-221,2154] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:62:1] [6:29:1] |
Generators of the group modulo torsion |
j |
-1185966951625/1352848042 |
j-invariant |
L |
3.9214453072092 |
L(r)(E,1)/r! |
Ω |
1.3806514778976 |
Real period |
R |
4.2604292647201 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
120848f1 105742c1 |
Quadratic twists by: -4 -7 |