Atkin-Lehner |
2- 7+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
14924b |
Isogeny class |
Conductor |
14924 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
92736 |
Modular degree for the optimal curve |
Δ |
-92542181844100352 = -1 · 28 · 714 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 1 2 7+ 0 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56932,15523108] |
[a1,a2,a3,a4,a6] |
Generators |
[631728:18117946:729] |
Generators of the group modulo torsion |
j |
-79718789805625168/361492897828517 |
j-invariant |
L |
6.3041498638425 |
L(r)(E,1)/r! |
Ω |
0.29443592701684 |
Real period |
R |
3.568489941493 |
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 |
59696v1 104468o1 |
Quadratic twists by: -4 -7 |