Atkin-Lehner |
2+ 5+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
14630g |
Isogeny class |
Conductor |
14630 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
923621042960 = 24 · 5 · 73 · 116 · 19 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 11- -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2454,6872] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:223:1] [-35:241:1] |
Generators of the group modulo torsion |
j |
1633401545467609/923621042960 |
j-invariant |
L |
3.6940300066328 |
L(r)(E,1)/r! |
Ω |
0.76130849981037 |
Real period |
R |
4.8522116954602 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
117040ba1 73150be1 102410y1 |
Quadratic twists by: -4 5 -7 |